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Finding the Fourth Proportional to 966.73, 1,447.77 and 800.97

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Solution

The fourth proportional to 966.73, 1,447.77 and 800.97 is: 1,199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.73 : 1,447.77 = 800.97 : x
  2. Step 2: Convert to fraction form
    966.73/1,447.77 = 800.97/x
  3. Step 3: Cross multiply
    966.73x = 1,447.77 × 800.97
  4. Step 4: Simplify right side
    966.73x = 1,159,614.91
  5. Step 5: Solve for x
    x = 1,159,614.91/966.73
  6. Step 6: Final answer
    x = 1,199.53

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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.