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Finding the Fourth Proportional to 863.92, 1,289.20 and 771.62

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Solution

The fourth proportional to 863.92, 1,289.20 and 771.62 is: 1,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.92 : 1,289.20 = 771.62 : x
  2. Step 2: Convert to fraction form
    863.92/1,289.20 = 771.62/x
  3. Step 3: Cross multiply
    863.92x = 1,289.20 × 771.62
  4. Step 4: Simplify right side
    863.92x = 994,772.50
  5. Step 5: Solve for x
    x = 994,772.50/863.92
  6. Step 6: Final answer
    x = 1,151.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.