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Finding the Fourth Proportional to 826.31, 1,239.57 and 339.10

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Solution

The fourth proportional to 826.31, 1,239.57 and 339.10 is: 508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.31 : 1,239.57 = 339.10 : x
  2. Step 2: Convert to fraction form
    826.31/1,239.57 = 339.10/x
  3. Step 3: Cross multiply
    826.31x = 1,239.57 × 339.10
  4. Step 4: Simplify right side
    826.31x = 420,335.09
  5. Step 5: Solve for x
    x = 420,335.09/826.31
  6. Step 6: Final answer
    x = 508.69

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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.