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Finding the Fourth Proportional to 881, 1,321.48 and 827.54

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Solution

The fourth proportional to 881, 1,321.48 and 827.54 is: 1,241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    881 : 1,321.48 = 827.54 : x
  2. Step 2: Convert to fraction form
    881/1,321.48 = 827.54/x
  3. Step 3: Cross multiply
    881x = 1,321.48 × 827.54
  4. Step 4: Simplify right side
    881x = 1,093,577.56
  5. Step 5: Solve for x
    x = 1,093,577.56/881
  6. Step 6: Final answer
    x = 1,241.29

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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.