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Finding the Fourth Proportional to 757.70, 1,136.82 and 324.74

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Solution

The fourth proportional to 757.70, 1,136.82 and 324.74 is: 487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.70 : 1,136.82 = 324.74 : x
  2. Step 2: Convert to fraction form
    757.70/1,136.82 = 324.74/x
  3. Step 3: Cross multiply
    757.70x = 1,136.82 × 324.74
  4. Step 4: Simplify right side
    757.70x = 369,170.93
  5. Step 5: Solve for x
    x = 369,170.93/757.70
  6. Step 6: Final answer
    x = 487.23

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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.