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Finding the Fourth Proportional to 966.48, 1,451.88 and 836.88

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Solution

The fourth proportional to 966.48, 1,451.88 and 836.88 is: 1,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.48 : 1,451.88 = 836.88 : x
  2. Step 2: Convert to fraction form
    966.48/1,451.88 = 836.88/x
  3. Step 3: Cross multiply
    966.48x = 1,451.88 × 836.88
  4. Step 4: Simplify right side
    966.48x = 1,215,049.33
  5. Step 5: Solve for x
    x = 1,215,049.33/966.48
  6. Step 6: Final answer
    x = 1,257.19

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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.