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Finding the Fourth Proportional to 836.01, 1,251.69 and 424.26

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Solution

The fourth proportional to 836.01, 1,251.69 and 424.26 is: 635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.01 : 1,251.69 = 424.26 : x
  2. Step 2: Convert to fraction form
    836.01/1,251.69 = 424.26/x
  3. Step 3: Cross multiply
    836.01x = 1,251.69 × 424.26
  4. Step 4: Simplify right side
    836.01x = 531,040.41
  5. Step 5: Solve for x
    x = 531,040.41/836.01
  6. Step 6: Final answer
    x = 635.21

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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.