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Finding the Fourth Proportional to 865.40, 1,198.14 and 822.20

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Solution

The fourth proportional to 865.40, 1,198.14 and 822.20 is: 1,138.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.40 : 1,198.14 = 822.20 : x
  2. Step 2: Convert to fraction form
    865.40/1,198.14 = 822.20/x
  3. Step 3: Cross multiply
    865.40x = 1,198.14 × 822.20
  4. Step 4: Simplify right side
    865.40x = 985,110.71
  5. Step 5: Solve for x
    x = 985,110.71/865.40
  6. Step 6: Final answer
    x = 1,138.33

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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.