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Finding the Fourth Proportional to 725.92, 1,001.50 and 477.34

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Solution

The fourth proportional to 725.92, 1,001.50 and 477.34 is: 658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.92 : 1,001.50 = 477.34 : x
  2. Step 2: Convert to fraction form
    725.92/1,001.50 = 477.34/x
  3. Step 3: Cross multiply
    725.92x = 1,001.50 × 477.34
  4. Step 4: Simplify right side
    725.92x = 478,056.01
  5. Step 5: Solve for x
    x = 478,056.01/725.92
  6. Step 6: Final answer
    x = 658.55

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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.