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Finding the Fourth Proportional to 725.38, 1,001.04 and 414.88

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Solution

The fourth proportional to 725.38, 1,001.04 and 414.88 is: 572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.38 : 1,001.04 = 414.88 : x
  2. Step 2: Convert to fraction form
    725.38/1,001.04 = 414.88/x
  3. Step 3: Cross multiply
    725.38x = 1,001.04 × 414.88
  4. Step 4: Simplify right side
    725.38x = 415,311.48
  5. Step 5: Solve for x
    x = 415,311.48/725.38
  6. Step 6: Final answer
    x = 572.54

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1.5x scale

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.