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Finding the Fourth Proportional to 757.97, 1,136.65 and 237.80

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Solution

The fourth proportional to 757.97, 1,136.65 and 237.80 is: 356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.97 : 1,136.65 = 237.80 : x
  2. Step 2: Convert to fraction form
    757.97/1,136.65 = 237.80/x
  3. Step 3: Cross multiply
    757.97x = 1,136.65 × 237.80
  4. Step 4: Simplify right side
    757.97x = 270,295.37
  5. Step 5: Solve for x
    x = 270,295.37/757.97
  6. Step 6: Final answer
    x = 356.60

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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.