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Finding the Fourth Proportional to 863.92, 1,192.47 and 819.83

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Solution

The fourth proportional to 863.92, 1,192.47 and 819.83 is: 1,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.92 : 1,192.47 = 819.83 : x
  2. Step 2: Convert to fraction form
    863.92/1,192.47 = 819.83/x
  3. Step 3: Cross multiply
    863.92x = 1,192.47 × 819.83
  4. Step 4: Simplify right side
    863.92x = 977,622.68
  5. Step 5: Solve for x
    x = 977,622.68/863.92
  6. Step 6: Final answer
    x = 1,131.62

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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.