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Finding the Fourth Proportional to 1,099.69, 1,517.62 and 602.32

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Solution

The fourth proportional to 1,099.69, 1,517.62 and 602.32 is: 831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.69 : 1,517.62 = 602.32 : x
  2. Step 2: Convert to fraction form
    1,099.69/1,517.62 = 602.32/x
  3. Step 3: Cross multiply
    1,099.69x = 1,517.62 × 602.32
  4. Step 4: Simplify right side
    1,099.69x = 914,092.88
  5. Step 5: Solve for x
    x = 914,092.88/1,099.69
  6. Step 6: Final answer
    x = 831.23

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Why These Related Problems?

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