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Finding the Fourth Proportional to 757.68, 1,136.73 and 410.87

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Solution

The fourth proportional to 757.68, 1,136.73 and 410.87 is: 616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.68 : 1,136.73 = 410.87 : x
  2. Step 2: Convert to fraction form
    757.68/1,136.73 = 410.87/x
  3. Step 3: Cross multiply
    757.68x = 1,136.73 × 410.87
  4. Step 4: Simplify right side
    757.68x = 467,042.57
  5. Step 5: Solve for x
    x = 467,042.57/757.68
  6. Step 6: Final answer
    x = 616.41

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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.