Yup, we're mixing apples and oranges here. "Minute of Angle," or "Minute of Arc" (MOA) is ... a measure of of angle (360 degrees in a circle, 60 minutes in a degree, 60 seconds in a minute if you really want to go crazy measuring). "Inches" is a measure of distance.

They're not intended to be used together (i.e. 2" MOA). Because one CAN measure the distance subtended by an angle (or arc) of 1 minute, one can also assign a measurement of distance to that arc - that's where 1.047XXXXX" at 100 yards comes in.

Those aren't 1/4" clicks in your optics, those are 1/4 MOA clicks. That is, unless you're different and use 1/10 mil turret gear. A mil is another measure of angle or arc.

Bottom line though, avoid mixing inches into MOA references. Technical yes, but confusing nonetheless.