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Finding the Fourth Proportional to 1,099.67, 1,517.55 and 602.31

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Solution

The fourth proportional to 1,099.67, 1,517.55 and 602.31 is: 831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.67 : 1,517.55 = 602.31 : x
  2. Step 2: Convert to fraction form
    1,099.67/1,517.55 = 602.31/x
  3. Step 3: Cross multiply
    1,099.67x = 1,517.55 × 602.31
  4. Step 4: Simplify right side
    1,099.67x = 914,035.54
  5. Step 5: Solve for x
    x = 914,035.54/1,099.67
  6. Step 6: Final answer
    x = 831.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.