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Finding the Fourth Proportional to 862.60, 1,286.97 and 770.20

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Solution

The fourth proportional to 862.60, 1,286.97 and 770.20 is: 1,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.60 : 1,286.97 = 770.20 : x
  2. Step 2: Convert to fraction form
    862.60/1,286.97 = 770.20/x
  3. Step 3: Cross multiply
    862.60x = 1,286.97 × 770.20
  4. Step 4: Simplify right side
    862.60x = 991,224.29
  5. Step 5: Solve for x
    x = 991,224.29/862.60
  6. Step 6: Final answer
    x = 1,149.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.