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Finding the Fourth Proportional to 801.27, 1,107.72 and 768.78

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Solution

The fourth proportional to 801.27, 1,107.72 and 768.78 is: 1,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.27 : 1,107.72 = 768.78 : x
  2. Step 2: Convert to fraction form
    801.27/1,107.72 = 768.78/x
  3. Step 3: Cross multiply
    801.27x = 1,107.72 × 768.78
  4. Step 4: Simplify right side
    801.27x = 851,592.98
  5. Step 5: Solve for x
    x = 851,592.98/801.27
  6. Step 6: Final answer
    x = 1,062.80

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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.