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Finding the Fourth Proportional to 769.30, 1,154.70 and 727.68

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Solution

The fourth proportional to 769.30, 1,154.70 and 727.68 is: 1,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.30 : 1,154.70 = 727.68 : x
  2. Step 2: Convert to fraction form
    769.30/1,154.70 = 727.68/x
  3. Step 3: Cross multiply
    769.30x = 1,154.70 × 727.68
  4. Step 4: Simplify right side
    769.30x = 840,247.88
  5. Step 5: Solve for x
    x = 840,247.88/769.30
  6. Step 6: Final answer
    x = 1,092.22

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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.