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Finding the Fourth Proportional to 966.89, 1,443.33 and 850.12

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Solution

The fourth proportional to 966.89, 1,443.33 and 850.12 is: 1,269.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.89 : 1,443.33 = 850.12 : x
  2. Step 2: Convert to fraction form
    966.89/1,443.33 = 850.12/x
  3. Step 3: Cross multiply
    966.89x = 1,443.33 × 850.12
  4. Step 4: Simplify right side
    966.89x = 1,227,003.70
  5. Step 5: Solve for x
    x = 1,227,003.70/966.89
  6. Step 6: Final answer
    x = 1,269.02

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