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Finding the Fourth Proportional to 966.59, 1,447.31 and 659.05

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Solution

The fourth proportional to 966.59, 1,447.31 and 659.05 is: 986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.59 : 1,447.31 = 659.05 : x
  2. Step 2: Convert to fraction form
    966.59/1,447.31 = 659.05/x
  3. Step 3: Cross multiply
    966.59x = 1,447.31 × 659.05
  4. Step 4: Simplify right side
    966.59x = 953,847.68
  5. Step 5: Solve for x
    x = 953,847.68/966.59
  6. Step 6: Final answer
    x = 986.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.