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Finding the Fourth Proportional to 725.68, 1,001.48 and 410.83

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Solution

The fourth proportional to 725.68, 1,001.48 and 410.83 is: 566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.68 : 1,001.48 = 410.83 : x
  2. Step 2: Convert to fraction form
    725.68/1,001.48 = 410.83/x
  3. Step 3: Cross multiply
    725.68x = 1,001.48 × 410.83
  4. Step 4: Simplify right side
    725.68x = 411,435.78
  5. Step 5: Solve for x
    x = 411,435.78/725.68
  6. Step 6: Final answer
    x = 566.96

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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.