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Finding the Fourth Proportional to 882.15, 1,217.19 and 566.92

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Solution

The fourth proportional to 882.15, 1,217.19 and 566.92 is: 782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.15 : 1,217.19 = 566.92 : x
  2. Step 2: Convert to fraction form
    882.15/1,217.19 = 566.92/x
  3. Step 3: Cross multiply
    882.15x = 1,217.19 × 566.92
  4. Step 4: Simplify right side
    882.15x = 690,049.35
  5. Step 5: Solve for x
    x = 690,049.35/882.15
  6. Step 6: Final answer
    x = 782.24

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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.