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Finding the Fourth Proportional to 772.56, 1,065.24 and 523.08

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Solution

The fourth proportional to 772.56, 1,065.24 and 523.08 is: 721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.56 : 1,065.24 = 523.08 : x
  2. Step 2: Convert to fraction form
    772.56/1,065.24 = 523.08/x
  3. Step 3: Cross multiply
    772.56x = 1,065.24 × 523.08
  4. Step 4: Simplify right side
    772.56x = 557,205.74
  5. Step 5: Solve for x
    x = 557,205.74/772.56
  6. Step 6: Final answer
    x = 721.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.