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Finding the Fourth Proportional to 826.43, 1,239.14 and 278.60

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Solution

The fourth proportional to 826.43, 1,239.14 and 278.60 is: 417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.43 : 1,239.14 = 278.60 : x
  2. Step 2: Convert to fraction form
    826.43/1,239.14 = 278.60/x
  3. Step 3: Cross multiply
    826.43x = 1,239.14 × 278.60
  4. Step 4: Simplify right side
    826.43x = 345,218.90
  5. Step 5: Solve for x
    x = 345,218.90/826.43
  6. Step 6: Final answer
    x = 417.73

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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.