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Finding the Fourth Proportional to 826.56, 1,239.84 and 249.44

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Solution

The fourth proportional to 826.56, 1,239.84 and 249.44 is: 374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.56 : 1,239.84 = 249.44 : x
  2. Step 2: Convert to fraction form
    826.56/1,239.84 = 249.44/x
  3. Step 3: Cross multiply
    826.56x = 1,239.84 × 249.44
  4. Step 4: Simplify right side
    826.56x = 309,265.69
  5. Step 5: Solve for x
    x = 309,265.69/826.56
  6. Step 6: Final answer
    x = 374.16

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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.