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Finding the Fourth Proportional to 731.68, 1,099.14 and 694.39

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Solution

The fourth proportional to 731.68, 1,099.14 and 694.39 is: 1,043.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.68 : 1,099.14 = 694.39 : x
  2. Step 2: Convert to fraction form
    731.68/1,099.14 = 694.39/x
  3. Step 3: Cross multiply
    731.68x = 1,099.14 × 694.39
  4. Step 4: Simplify right side
    731.68x = 763,231.68
  5. Step 5: Solve for x
    x = 763,231.68/731.68
  6. Step 6: Final answer
    x = 1,043.13

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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.