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Finding the Fourth Proportional to 717.72, 991.08 and 522.24

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Solution

The fourth proportional to 717.72, 991.08 and 522.24 is: 721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.72 : 991.08 = 522.24 : x
  2. Step 2: Convert to fraction form
    717.72/991.08 = 522.24/x
  3. Step 3: Cross multiply
    717.72x = 991.08 × 522.24
  4. Step 4: Simplify right side
    717.72x = 517,581.62
  5. Step 5: Solve for x
    x = 517,581.62/717.72
  6. Step 6: Final answer
    x = 721.15

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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.