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Finding the Fourth Proportional to 680.60, 1,020.90 and 406.55

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Solution

The fourth proportional to 680.60, 1,020.90 and 406.55 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.60 : 1,020.90 = 406.55 : x
  2. Step 2: Convert to fraction form
    680.60/1,020.90 = 406.55/x
  3. Step 3: Cross multiply
    680.60x = 1,020.90 × 406.55
  4. Step 4: Simplify right side
    680.60x = 415,046.90
  5. Step 5: Solve for x
    x = 415,046.90/680.60
  6. Step 6: Final answer
    x = 609.83

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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.