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Finding the Fourth Proportional to 757.74, 1,136.41 and 209.78

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Solution

The fourth proportional to 757.74, 1,136.41 and 209.78 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.74 : 1,136.41 = 209.78 : x
  2. Step 2: Convert to fraction form
    757.74/1,136.41 = 209.78/x
  3. Step 3: Cross multiply
    757.74x = 1,136.41 × 209.78
  4. Step 4: Simplify right side
    757.74x = 238,396.09
  5. Step 5: Solve for x
    x = 238,396.09/757.74
  6. Step 6: Final answer
    x = 314.61

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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.