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Finding the Fourth Proportional to 757.38, 1,136.06 and 244.38

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Solution

The fourth proportional to 757.38, 1,136.06 and 244.38 is: 366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.38 : 1,136.06 = 244.38 : x
  2. Step 2: Convert to fraction form
    757.38/1,136.06 = 244.38/x
  3. Step 3: Cross multiply
    757.38x = 1,136.06 × 244.38
  4. Step 4: Simplify right side
    757.38x = 277,630.34
  5. Step 5: Solve for x
    x = 277,630.34/757.38
  6. Step 6: Final answer
    x = 366.57

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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.