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Finding the Fourth Proportional to 881.85, 1,321.56 and 516.14

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Solution

The fourth proportional to 881.85, 1,321.56 and 516.14 is: 773.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.85 : 1,321.56 = 516.14 : x
  2. Step 2: Convert to fraction form
    881.85/1,321.56 = 516.14/x
  3. Step 3: Cross multiply
    881.85x = 1,321.56 × 516.14
  4. Step 4: Simplify right side
    881.85x = 682,103.37
  5. Step 5: Solve for x
    x = 682,103.37/881.85
  6. Step 6: Final answer
    x = 773.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.