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Finding the Fourth Proportional to 731.11, 1,096.95 and 439.16

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Solution

The fourth proportional to 731.11, 1,096.95 and 439.16 is: 658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.11 : 1,096.95 = 439.16 : x
  2. Step 2: Convert to fraction form
    731.11/1,096.95 = 439.16/x
  3. Step 3: Cross multiply
    731.11x = 1,096.95 × 439.16
  4. Step 4: Simplify right side
    731.11x = 481,736.56
  5. Step 5: Solve for x
    x = 481,736.56/731.11
  6. Step 6: Final answer
    x = 658.92

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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.