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Finding the Fourth Proportional to 725.67, 1,001.55 and 430.96

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Solution

The fourth proportional to 725.67, 1,001.55 and 430.96 is: 594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.67 : 1,001.55 = 430.96 : x
  2. Step 2: Convert to fraction form
    725.67/1,001.55 = 430.96/x
  3. Step 3: Cross multiply
    725.67x = 1,001.55 × 430.96
  4. Step 4: Simplify right side
    725.67x = 431,627.10
  5. Step 5: Solve for x
    x = 431,627.10/725.67
  6. Step 6: Final answer
    x = 594.79

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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.