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Finding the Fourth Proportional to 881.63, 1,217.22 and 567.04

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Solution

The fourth proportional to 881.63, 1,217.22 and 567.04 is: 782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.63 : 1,217.22 = 567.04 : x
  2. Step 2: Convert to fraction form
    881.63/1,217.22 = 567.04/x
  3. Step 3: Cross multiply
    881.63x = 1,217.22 × 567.04
  4. Step 4: Simplify right side
    881.63x = 690,212.43
  5. Step 5: Solve for x
    x = 690,212.43/881.63
  6. Step 6: Final answer
    x = 782.88

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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.