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Finding the Fourth Proportional to 836.40, 1,252.28 and 544.24

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Solution

The fourth proportional to 836.40, 1,252.28 and 544.24 is: 814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.40 : 1,252.28 = 544.24 : x
  2. Step 2: Convert to fraction form
    836.40/1,252.28 = 544.24/x
  3. Step 3: Cross multiply
    836.40x = 1,252.28 × 544.24
  4. Step 4: Simplify right side
    836.40x = 681,540.87
  5. Step 5: Solve for x
    x = 681,540.87/836.40
  6. Step 6: Final answer
    x = 814.85

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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.