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Finding the Fourth Proportional to 769.92, 1,154.21 and 308.09

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Solution

The fourth proportional to 769.92, 1,154.21 and 308.09 is: 461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.92 : 1,154.21 = 308.09 : x
  2. Step 2: Convert to fraction form
    769.92/1,154.21 = 308.09/x
  3. Step 3: Cross multiply
    769.92x = 1,154.21 × 308.09
  4. Step 4: Simplify right side
    769.92x = 355,593.25
  5. Step 5: Solve for x
    x = 355,593.25/769.92
  6. Step 6: Final answer
    x = 461.86

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