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Finding the Fourth Proportional to 1,099.81, 1,517.74 and 602.49

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Solution

The fourth proportional to 1,099.81, 1,517.74 and 602.49 is: 831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.81 : 1,517.74 = 602.49 : x
  2. Step 2: Convert to fraction form
    1,099.81/1,517.74 = 602.49/x
  3. Step 3: Cross multiply
    1,099.81x = 1,517.74 × 602.49
  4. Step 4: Simplify right side
    1,099.81x = 914,423.17
  5. Step 5: Solve for x
    x = 914,423.17/1,099.81
  6. Step 6: Final answer
    x = 831.44

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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.