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Finding the Fourth Proportional to 757.66, 1,136.47 and 209.85

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Solution

The fourth proportional to 757.66, 1,136.47 and 209.85 is: 314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.66 : 1,136.47 = 209.85 : x
  2. Step 2: Convert to fraction form
    757.66/1,136.47 = 209.85/x
  3. Step 3: Cross multiply
    757.66x = 1,136.47 × 209.85
  4. Step 4: Simplify right side
    757.66x = 238,488.23
  5. Step 5: Solve for x
    x = 238,488.23/757.66
  6. Step 6: Final answer
    x = 314.77

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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.