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Finding the Fourth Proportional to 826.98, 1,238.86 and 363.66

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Solution

The fourth proportional to 826.98, 1,238.86 and 363.66 is: 544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.98 : 1,238.86 = 363.66 : x
  2. Step 2: Convert to fraction form
    826.98/1,238.86 = 363.66/x
  3. Step 3: Cross multiply
    826.98x = 1,238.86 × 363.66
  4. Step 4: Simplify right side
    826.98x = 450,523.83
  5. Step 5: Solve for x
    x = 450,523.83/826.98
  6. Step 6: Final answer
    x = 544.78

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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.