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Finding the Fourth Proportional to 758.27, 1,136.80 and 295.97

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Solution

The fourth proportional to 758.27, 1,136.80 and 295.97 is: 443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.27 : 1,136.80 = 295.97 : x
  2. Step 2: Convert to fraction form
    758.27/1,136.80 = 295.97/x
  3. Step 3: Cross multiply
    758.27x = 1,136.80 × 295.97
  4. Step 4: Simplify right side
    758.27x = 336,453.38
  5. Step 5: Solve for x
    x = 336,453.38/758.27
  6. Step 6: Final answer
    x = 443.71

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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.