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Finding the Fourth Proportional to 725.34, 1,001.18 and 441.86

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Solution

The fourth proportional to 725.34, 1,001.18 and 441.86 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.34 : 1,001.18 = 441.86 : x
  2. Step 2: Convert to fraction form
    725.34/1,001.18 = 441.86/x
  3. Step 3: Cross multiply
    725.34x = 1,001.18 × 441.86
  4. Step 4: Simplify right side
    725.34x = 442,385.00
  5. Step 5: Solve for x
    x = 442,385.00/725.34
  6. Step 6: Final answer
    x = 609.90

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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.