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Finding the Fourth Proportional to 836.28, 1,252.40 and 814.42

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Solution

The fourth proportional to 836.28, 1,252.40 and 814.42 is: 1,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.28 : 1,252.40 = 814.42 : x
  2. Step 2: Convert to fraction form
    836.28/1,252.40 = 814.42/x
  3. Step 3: Cross multiply
    836.28x = 1,252.40 × 814.42
  4. Step 4: Simplify right side
    836.28x = 1,019,979.61
  5. Step 5: Solve for x
    x = 1,019,979.61/836.28
  6. Step 6: Final answer
    x = 1,219.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.