Question 399068
The question is asking for the height of the Empire State Building.  Since that's the unknown, we will use a variable x to describe it.  The question states that the Sears Tower is 1 4/25 <i>times</i> the height of the Empire State Building.  So a pseudo-equation would be (Height of Sears Tower) = 1 4/25 x (Height of Empire State Building.  Placing 1,450 for the Sears Tower and x for the Empire State Building yields the equation:

{{{1450=(1+4/25)*x}}}

Then it's just a matter of solving for x:

{{{1450=(25/25)+(4/25)*x}}} *Convert 1 to 25/25 so we can add it to 4/25.<br>

{{{1450=(29/25)*x}}} *Add the two fractions, to get 29/25.<br>

{{{(25)*1450=(29)*x}}} *Multiply both sides by 25, and<br>

{{{(25*1450)/29=x}}} divide both sides by 29, to isolate x.<br>

So, {{{x=(25*1450)/29}}}

And further calculation yields x, the height of the Empire State Building, is 1250 ft.