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Finding the Fourth Proportional to 826.13, 1,239.47 and 338.91

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Solution

The fourth proportional to 826.13, 1,239.47 and 338.91 is: 508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.13 : 1,239.47 = 338.91 : x
  2. Step 2: Convert to fraction form
    826.13/1,239.47 = 338.91/x
  3. Step 3: Cross multiply
    826.13x = 1,239.47 × 338.91
  4. Step 4: Simplify right side
    826.13x = 420,067.08
  5. Step 5: Solve for x
    x = 420,067.08/826.13
  6. Step 6: Final answer
    x = 508.48

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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.