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Finding the Fourth Proportional to 725.58, 1,001.31 and 410.82

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Solution

The fourth proportional to 725.58, 1,001.31 and 410.82 is: 566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.58 : 1,001.31 = 410.82 : x
  2. Step 2: Convert to fraction form
    725.58/1,001.31 = 410.82/x
  3. Step 3: Cross multiply
    725.58x = 1,001.31 × 410.82
  4. Step 4: Simplify right side
    725.58x = 411,358.17
  5. Step 5: Solve for x
    x = 411,358.17/725.58
  6. Step 6: Final answer
    x = 566.94

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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.