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Finding the Fourth Proportional to 725.30, 1,001.08 and 472.78

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Solution

The fourth proportional to 725.30, 1,001.08 and 472.78 is: 652.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.30 : 1,001.08 = 472.78 : x
  2. Step 2: Convert to fraction form
    725.30/1,001.08 = 472.78/x
  3. Step 3: Cross multiply
    725.30x = 1,001.08 × 472.78
  4. Step 4: Simplify right side
    725.30x = 473,290.60
  5. Step 5: Solve for x
    x = 473,290.60/725.30
  6. Step 6: Final answer
    x = 652.54

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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.