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Finding the Fourth Proportional to 725.90, 1,001.68 and 411.17

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Solution

The fourth proportional to 725.90, 1,001.68 and 411.17 is: 567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.90 : 1,001.68 = 411.17 : x
  2. Step 2: Convert to fraction form
    725.90/1,001.68 = 411.17/x
  3. Step 3: Cross multiply
    725.90x = 1,001.68 × 411.17
  4. Step 4: Simplify right side
    725.90x = 411,854.73
  5. Step 5: Solve for x
    x = 411,854.73/725.90
  6. Step 6: Final answer
    x = 567.38

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Half scale
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Double scale
Find fourth proportional to 726.90, 1,003.06 and 412.17
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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.