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Finding the Fourth Proportional to 769.10, 1,153.92 and 461.16

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Solution

The fourth proportional to 769.10, 1,153.92 and 461.16 is: 691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.10 : 1,153.92 = 461.16 : x
  2. Step 2: Convert to fraction form
    769.10/1,153.92 = 461.16/x
  3. Step 3: Cross multiply
    769.10x = 1,153.92 × 461.16
  4. Step 4: Simplify right side
    769.10x = 532,143.48
  5. Step 5: Solve for x
    x = 532,143.48/769.10
  6. Step 6: Final answer
    x = 691.91

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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.