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Finding the Fourth Proportional to 826.13, 1,238.27 and 415.62

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Solution

The fourth proportional to 826.13, 1,238.27 and 415.62 is: 622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,238.27 = 415.62 : x
  2. Step 2: Convert to fraction form
    826.13/1,238.27 = 415.62/x
  3. Step 3: Cross multiply
    826.13x = 1,238.27 × 415.62
  4. Step 4: Simplify right side
    826.13x = 514,647.70
  5. Step 5: Solve for x
    x = 514,647.70/826.13
  6. Step 6: Final answer
    x = 622.97

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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.