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Finding the Fourth Proportional to 881.07, 1,215.96 and 531.75

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Solution

The fourth proportional to 881.07, 1,215.96 and 531.75 is: 733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.07 : 1,215.96 = 531.75 : x
  2. Step 2: Convert to fraction form
    881.07/1,215.96 = 531.75/x
  3. Step 3: Cross multiply
    881.07x = 1,215.96 × 531.75
  4. Step 4: Simplify right side
    881.07x = 646,586.73
  5. Step 5: Solve for x
    x = 646,586.73/881.07
  6. Step 6: Final answer
    x = 733.87

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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.