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Finding the Fourth Proportional to 836.20, 1,252.38 and 817.96

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Solution

The fourth proportional to 836.20, 1,252.38 and 817.96 is: 1,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.20 : 1,252.38 = 817.96 : x
  2. Step 2: Convert to fraction form
    836.20/1,252.38 = 817.96/x
  3. Step 3: Cross multiply
    836.20x = 1,252.38 × 817.96
  4. Step 4: Simplify right side
    836.20x = 1,024,396.74
  5. Step 5: Solve for x
    x = 1,024,396.74/836.20
  6. Step 6: Final answer
    x = 1,225.06

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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.