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Finding the Fourth Proportional to 725.85, 1,001.60 and 411.12

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Solution

The fourth proportional to 725.85, 1,001.60 and 411.12 is: 567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.85 : 1,001.60 = 411.12 : x
  2. Step 2: Convert to fraction form
    725.85/1,001.60 = 411.12/x
  3. Step 3: Cross multiply
    725.85x = 1,001.60 × 411.12
  4. Step 4: Simplify right side
    725.85x = 411,778.82
  5. Step 5: Solve for x
    x = 411,778.82/725.85
  6. Step 6: Final answer
    x = 567.31

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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.