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Finding the Fourth Proportional to 717.89, 991.51 and 522.27

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Solution

The fourth proportional to 717.89, 991.51 and 522.27 is: 721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.89 : 991.51 = 522.27 : x
  2. Step 2: Convert to fraction form
    717.89/991.51 = 522.27/x
  3. Step 3: Cross multiply
    717.89x = 991.51 × 522.27
  4. Step 4: Simplify right side
    717.89x = 517,834.62
  5. Step 5: Solve for x
    x = 517,834.62/717.89
  6. Step 6: Final answer
    x = 721.33

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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.