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Finding the Fourth Proportional to 769.14, 1,155.78 and 422.73

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Solution

The fourth proportional to 769.14, 1,155.78 and 422.73 is: 635.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.14 : 1,155.78 = 422.73 : x
  2. Step 2: Convert to fraction form
    769.14/1,155.78 = 422.73/x
  3. Step 3: Cross multiply
    769.14x = 1,155.78 × 422.73
  4. Step 4: Simplify right side
    769.14x = 488,582.88
  5. Step 5: Solve for x
    x = 488,582.88/769.14
  6. Step 6: Final answer
    x = 635.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.