I think you might have answered your own question....

It was a little more complicated than this but this worked well enough for me who at the time did not understand all the math involved so I faked it.

I think that was the AE's solution too. I have a hard time believing that when they were a couple of hundred feet up in the air and discovered that they had brought the wrong block up that they took it back down and got the right one instead. No they just faked it. Happens all the time.