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Finding the Fourth Proportional to 836.26, 1,252.70 and 418.54

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Solution

The fourth proportional to 836.26, 1,252.70 and 418.54 is: 626.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.26 : 1,252.70 = 418.54 : x
  2. Step 2: Convert to fraction form
    836.26/1,252.70 = 418.54/x
  3. Step 3: Cross multiply
    836.26x = 1,252.70 × 418.54
  4. Step 4: Simplify right side
    836.26x = 524,305.06
  5. Step 5: Solve for x
    x = 524,305.06/836.26
  6. Step 6: Final answer
    x = 626.96

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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.