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Finding the Fourth Proportional to 757.73, 1,136.97 and 410.69

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Solution

The fourth proportional to 757.73, 1,136.97 and 410.69 is: 616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.73 : 1,136.97 = 410.69 : x
  2. Step 2: Convert to fraction form
    757.73/1,136.97 = 410.69/x
  3. Step 3: Cross multiply
    757.73x = 1,136.97 × 410.69
  4. Step 4: Simplify right side
    757.73x = 466,936.52
  5. Step 5: Solve for x
    x = 466,936.52/757.73
  6. Step 6: Final answer
    x = 616.23

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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.