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Finding the Fourth Proportional to 1,099.71, 1,517.63 and 602.37

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Solution

The fourth proportional to 1,099.71, 1,517.63 and 602.37 is: 831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.71 : 1,517.63 = 602.37 : x
  2. Step 2: Convert to fraction form
    1,099.71/1,517.63 = 602.37/x
  3. Step 3: Cross multiply
    1,099.71x = 1,517.63 × 602.37
  4. Step 4: Simplify right side
    1,099.71x = 914,174.78
  5. Step 5: Solve for x
    x = 914,174.78/1,099.71
  6. Step 6: Final answer
    x = 831.29

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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.