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Finding the Fourth Proportional to 725.50, 1,001.28 and 415

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Solution

The fourth proportional to 725.50, 1,001.28 and 415 is: 572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.50 : 1,001.28 = 415 : x
  2. Step 2: Convert to fraction form
    725.50/1,001.28 = 415/x
  3. Step 3: Cross multiply
    725.50x = 1,001.28 × 415
  4. Step 4: Simplify right side
    725.50x = 415,531.20
  5. Step 5: Solve for x
    x = 415,531.20/725.50
  6. Step 6: Final answer
    x = 572.75

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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.