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Finding the Fourth Proportional to 881.71, 1,217.01 and 532.42

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Solution

The fourth proportional to 881.71, 1,217.01 and 532.42 is: 734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.71 : 1,217.01 = 532.42 : x
  2. Step 2: Convert to fraction form
    881.71/1,217.01 = 532.42/x
  3. Step 3: Cross multiply
    881.71x = 1,217.01 × 532.42
  4. Step 4: Simplify right side
    881.71x = 647,960.46
  5. Step 5: Solve for x
    x = 647,960.46/881.71
  6. Step 6: Final answer
    x = 734.89

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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.