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Finding the Fourth Proportional to 863.92, 1,192.12 and 602.52

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Solution

The fourth proportional to 863.92, 1,192.12 and 602.52 is: 831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.92 : 1,192.12 = 602.52 : x
  2. Step 2: Convert to fraction form
    863.92/1,192.12 = 602.52/x
  3. Step 3: Cross multiply
    863.92x = 1,192.12 × 602.52
  4. Step 4: Simplify right side
    863.92x = 718,276.14
  5. Step 5: Solve for x
    x = 718,276.14/863.92
  6. Step 6: Final answer
    x = 831.42

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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.