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Finding the Fourth Proportional to 769.10, 1,153.14 and 461.18

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Solution

The fourth proportional to 769.10, 1,153.14 and 461.18 is: 691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.10 : 1,153.14 = 461.18 : x
  2. Step 2: Convert to fraction form
    769.10/1,153.14 = 461.18/x
  3. Step 3: Cross multiply
    769.10x = 1,153.14 × 461.18
  4. Step 4: Simplify right side
    769.10x = 531,805.11
  5. Step 5: Solve for x
    x = 531,805.11/769.10
  6. Step 6: Final answer
    x = 691.46

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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.