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Finding the Fourth Proportional to 966.10, 1,447.80 and 677.20

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Solution

The fourth proportional to 966.10, 1,447.80 and 677.20 is: 1,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.10 : 1,447.80 = 677.20 : x
  2. Step 2: Convert to fraction form
    966.10/1,447.80 = 677.20/x
  3. Step 3: Cross multiply
    966.10x = 1,447.80 × 677.20
  4. Step 4: Simplify right side
    966.10x = 980,450.16
  5. Step 5: Solve for x
    x = 980,450.16/966.10
  6. Step 6: Final answer
    x = 1,014.85

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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.