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Finding the Fourth Proportional to 842.97, 1,160.91 and 824.78

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Solution

The fourth proportional to 842.97, 1,160.91 and 824.78 is: 1,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.97 : 1,160.91 = 824.78 : x
  2. Step 2: Convert to fraction form
    842.97/1,160.91 = 824.78/x
  3. Step 3: Cross multiply
    842.97x = 1,160.91 × 824.78
  4. Step 4: Simplify right side
    842.97x = 957,489.55
  5. Step 5: Solve for x
    x = 957,489.55/842.97
  6. Step 6: Final answer
    x = 1,135.85

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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.