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Finding the Fourth Proportional to 680.52, 1,020.17 and 247.38

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Solution

The fourth proportional to 680.52, 1,020.17 and 247.38 is: 370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.52 : 1,020.17 = 247.38 : x
  2. Step 2: Convert to fraction form
    680.52/1,020.17 = 247.38/x
  3. Step 3: Cross multiply
    680.52x = 1,020.17 × 247.38
  4. Step 4: Simplify right side
    680.52x = 252,369.65
  5. Step 5: Solve for x
    x = 252,369.65/680.52
  6. Step 6: Final answer
    x = 370.85

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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.