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Finding the Fourth Proportional to 876, 1,314.68 and 773.48

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Solution

The fourth proportional to 876, 1,314.68 and 773.48 is: 1,160.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    876 : 1,314.68 = 773.48 : x
  2. Step 2: Convert to fraction form
    876/1,314.68 = 773.48/x
  3. Step 3: Cross multiply
    876x = 1,314.68 × 773.48
  4. Step 4: Simplify right side
    876x = 1,016,878.69
  5. Step 5: Solve for x
    x = 1,016,878.69/876
  6. Step 6: Final answer
    x = 1,160.82

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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.