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Finding the Fourth Proportional to 732.27, 1,099.07 and 367.27

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Solution

The fourth proportional to 732.27, 1,099.07 and 367.27 is: 551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.27 : 1,099.07 = 367.27 : x
  2. Step 2: Convert to fraction form
    732.27/1,099.07 = 367.27/x
  3. Step 3: Cross multiply
    732.27x = 1,099.07 × 367.27
  4. Step 4: Simplify right side
    732.27x = 403,652.23
  5. Step 5: Solve for x
    x = 403,652.23/732.27
  6. Step 6: Final answer
    x = 551.23

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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.