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Finding the Fourth Proportional to 725.29, 1,000.91 and 414.81

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Solution

The fourth proportional to 725.29, 1,000.91 and 414.81 is: 572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.29 : 1,000.91 = 414.81 : x
  2. Step 2: Convert to fraction form
    725.29/1,000.91 = 414.81/x
  3. Step 3: Cross multiply
    725.29x = 1,000.91 × 414.81
  4. Step 4: Simplify right side
    725.29x = 415,185.40
  5. Step 5: Solve for x
    x = 415,185.40/725.29
  6. Step 6: Final answer
    x = 572.44

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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.