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Finding the Fourth Proportional to 881.27, 1,216.17 and 531.75

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Solution

The fourth proportional to 881.27, 1,216.17 and 531.75 is: 733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.27 : 1,216.17 = 531.75 : x
  2. Step 2: Convert to fraction form
    881.27/1,216.17 = 531.75/x
  3. Step 3: Cross multiply
    881.27x = 1,216.17 × 531.75
  4. Step 4: Simplify right side
    881.27x = 646,698.40
  5. Step 5: Solve for x
    x = 646,698.40/881.27
  6. Step 6: Final answer
    x = 733.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.