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Finding the Fourth Proportional to 725.62, 1,001.46 and 477.31

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Solution

The fourth proportional to 725.62, 1,001.46 and 477.31 is: 658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.62 : 1,001.46 = 477.31 : x
  2. Step 2: Convert to fraction form
    725.62/1,001.46 = 477.31/x
  3. Step 3: Cross multiply
    725.62x = 1,001.46 × 477.31
  4. Step 4: Simplify right side
    725.62x = 478,006.87
  5. Step 5: Solve for x
    x = 478,006.87/725.62
  6. Step 6: Final answer
    x = 658.76

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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.