This might be getting a little off topic, but in an interview, Fischer himself stated that he was not a chess prodigy, but rather a highly intelligent person that decided to make chess his career. That explains the above post. You can check further, but his IQ was incredibly high. Together with endless work and determination is how Fischer succeeded at Chess.
Fischer was perhaps being modest ? False modesty ? Do you really think somone can become US champion at age 14 and GM at 15 ( at the time , youngest GM in the history of the game ) and NOT be a prodigy ? ! I don't .
I just jumped from 1200 to 1300+, for more than trivial amounts of time. I too was STUCK at 1150-1200 for quite awhile!
I used to be one of those tactics,tactics, tactics guys, and thus I studied boatloads of tactics! But it was quite frustrating, as it definitely didn't seem to translate into play, either in blitz or OTB. Yes, I was still losing games to hidden tactics found by the computer analysis, but plenty of games where I didn't miss any big tactic, and just lost, even at 1150 level.
Even more importantly, my opponents were NOT 'out-tacticing' me. Even when they beat me on tactics, their tactics were SO easy to see, literally 2 movers, 3 at most, but I simply couldn't do anything against them, or had such a tough position to play that I'd have to see something very hard to survive.
The 'breakthrough' for me, was to add just a little bit of positional knowledge to my tactics. There's unfortunately no failsafe, easy or even totally logical way to do this, but what I found worked for me was a combo of watching videos of ChessNetwork play blitz (he's a very positional player), and playing through games in the opening that I use and not just trying to memorize the opening moves (kinda useless), but to see what the main setups are and what the main problems they run into.
I know, sounds 'mushy', but seriously, after about 2 months of just sprinkling this stuff into my tactical training (and still doing tactics on top), it made all the difference. Games started feeling a lot more balanced and fair, in that I was winning with tactics that didn't feel crazy impossible, and opponents blunder MUCH more because you are putting some positional pressure on them through the whole game (I've had a few of 1400+ players hang queens on me outright when it gets messy.)
Also, what I'm finding that about half the 1300-1500 rated players play significantly weaker than even a 1150 tactically-based player, provided you get them out of openings and middlegames they like. In their preferred openings though, against 1100s, they don't need amazing tactics, as they'll get better structures and give opponents many more chances to blunder as a result.
Chessnetwork's free youtube videos are an excellent example of how he (a national master) beats opponents without tactical genius. In his 5-minute blitz games, it almost never requires that he pull some amazing 5-move+ deep combo to finish off his opponent - he'll take a lot of time setting things up positionally (he explains how he does it for each opening), and by the time the late middlegame rolls around, there are so many looming threats that the opponent either makes a blunder outright that even a 900 player could spot, or requires only a 2-mover that a 1100 player could spot to finish him off. Neat stuff.
(Dont' get me wrong - chessnetwork is EXTREMELY good at tactics - when needed. Watch him play 1-min blitz and it can be mindboggling how fast he calculates complicated tactics. But truth is that in his typical 5-min games against nonmasters that he puts online, you don't need tactics higher than 1200 level to get the win since he puts so much positional pressure on the opponent. He spends the VAST majority of his time in his blitz games on 'quiet' positions; I don't think I've ever watched a video of his 5-min blitz where I was like "wow that was some crazy hard tactics!" - it's always like "seriously, that's how easy it is to beat a 1900 player?!?! WTF!!)