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Finding the Fourth Proportional to 836.12, 1,252.78 and 591.52

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Solution

The fourth proportional to 836.12, 1,252.78 and 591.52 is: 886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.12 : 1,252.78 = 591.52 : x
  2. Step 2: Convert to fraction form
    836.12/1,252.78 = 591.52/x
  3. Step 3: Cross multiply
    836.12x = 1,252.78 × 591.52
  4. Step 4: Simplify right side
    836.12x = 741,044.43
  5. Step 5: Solve for x
    x = 741,044.43/836.12
  6. Step 6: Final answer
    x = 886.29

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