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Finding the Fourth Proportional to 725.69, 1,086.46 and 481.73

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Solution

The fourth proportional to 725.69, 1,086.46 and 481.73 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.69 : 1,086.46 = 481.73 : x
  2. Step 2: Convert to fraction form
    725.69/1,086.46 = 481.73/x
  3. Step 3: Cross multiply
    725.69x = 1,086.46 × 481.73
  4. Step 4: Simplify right side
    725.69x = 523,380.38
  5. Step 5: Solve for x
    x = 523,380.38/725.69
  6. Step 6: Final answer
    x = 721.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.