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Finding the Fourth Proportional to 826.31, 1,239.48 and 249.19

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Solution

The fourth proportional to 826.31, 1,239.48 and 249.19 is: 373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.31 : 1,239.48 = 249.19 : x
  2. Step 2: Convert to fraction form
    826.31/1,239.48 = 249.19/x
  3. Step 3: Cross multiply
    826.31x = 1,239.48 × 249.19
  4. Step 4: Simplify right side
    826.31x = 308,861.99
  5. Step 5: Solve for x
    x = 308,861.99/826.31
  6. Step 6: Final answer
    x = 373.78

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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.