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Finding the Fourth Proportional to 824.82, 1,138.66 and 564.20

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Solution

The fourth proportional to 824.82, 1,138.66 and 564.20 is: 778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.82 : 1,138.66 = 564.20 : x
  2. Step 2: Convert to fraction form
    824.82/1,138.66 = 564.20/x
  3. Step 3: Cross multiply
    824.82x = 1,138.66 × 564.20
  4. Step 4: Simplify right side
    824.82x = 642,431.97
  5. Step 5: Solve for x
    x = 642,431.97/824.82
  6. Step 6: Final answer
    x = 778.88

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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.