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Finding the Fourth Proportional to 769.78, 1,151.83 and 461.85

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Solution

The fourth proportional to 769.78, 1,151.83 and 461.85 is: 691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.78 : 1,151.83 = 461.85 : x
  2. Step 2: Convert to fraction form
    769.78/1,151.83 = 461.85/x
  3. Step 3: Cross multiply
    769.78x = 1,151.83 × 461.85
  4. Step 4: Simplify right side
    769.78x = 531,972.69
  5. Step 5: Solve for x
    x = 531,972.69/769.78
  6. Step 6: Final answer
    x = 691.07

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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.