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Finding the Fourth Proportional to 876.62, 1,311.02 and 779.73

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Solution

The fourth proportional to 876.62, 1,311.02 and 779.73 is: 1,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.62 : 1,311.02 = 779.73 : x
  2. Step 2: Convert to fraction form
    876.62/1,311.02 = 779.73/x
  3. Step 3: Cross multiply
    876.62x = 1,311.02 × 779.73
  4. Step 4: Simplify right side
    876.62x = 1,022,235.73
  5. Step 5: Solve for x
    x = 1,022,235.73/876.62
  6. Step 6: Final answer
    x = 1,166.11

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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.