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Finding the Fourth Proportional to 757.70, 1,136.33 and 270.64

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Solution

The fourth proportional to 757.70, 1,136.33 and 270.64 is: 405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.70 : 1,136.33 = 270.64 : x
  2. Step 2: Convert to fraction form
    757.70/1,136.33 = 270.64/x
  3. Step 3: Cross multiply
    757.70x = 1,136.33 × 270.64
  4. Step 4: Simplify right side
    757.70x = 307,537.43
  5. Step 5: Solve for x
    x = 307,537.43/757.70
  6. Step 6: Final answer
    x = 405.88

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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.