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Finding the Fourth Proportional to 882.14, 1,217.32 and 483.78

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Solution

The fourth proportional to 882.14, 1,217.32 and 483.78 is: 667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.14 : 1,217.32 = 483.78 : x
  2. Step 2: Convert to fraction form
    882.14/1,217.32 = 483.78/x
  3. Step 3: Cross multiply
    882.14x = 1,217.32 × 483.78
  4. Step 4: Simplify right side
    882.14x = 588,913.86
  5. Step 5: Solve for x
    x = 588,913.86/882.14
  6. Step 6: Final answer
    x = 667.59

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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.