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Finding the Fourth Proportional to 680.46, 1,020.68 and 247.61

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Solution

The fourth proportional to 680.46, 1,020.68 and 247.61 is: 371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.46 : 1,020.68 = 247.61 : x
  2. Step 2: Convert to fraction form
    680.46/1,020.68 = 247.61/x
  3. Step 3: Cross multiply
    680.46x = 1,020.68 × 247.61
  4. Step 4: Simplify right side
    680.46x = 252,730.57
  5. Step 5: Solve for x
    x = 252,730.57/680.46
  6. Step 6: Final answer
    x = 371.41

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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.