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Finding the Fourth Proportional to 836.80, 1,264.68 and 822.42

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Solution

The fourth proportional to 836.80, 1,264.68 and 822.42 is: 1,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.80 : 1,264.68 = 822.42 : x
  2. Step 2: Convert to fraction form
    836.80/1,264.68 = 822.42/x
  3. Step 3: Cross multiply
    836.80x = 1,264.68 × 822.42
  4. Step 4: Simplify right side
    836.80x = 1,040,098.13
  5. Step 5: Solve for x
    x = 1,040,098.13/836.80
  6. Step 6: Final answer
    x = 1,242.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.