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Finding the Fourth Proportional to 826.86, 1,240.31 and 339.80

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Solution

The fourth proportional to 826.86, 1,240.31 and 339.80 is: 509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.86 : 1,240.31 = 339.80 : x
  2. Step 2: Convert to fraction form
    826.86/1,240.31 = 339.80/x
  3. Step 3: Cross multiply
    826.86x = 1,240.31 × 339.80
  4. Step 4: Simplify right side
    826.86x = 421,458.74
  5. Step 5: Solve for x
    x = 421,458.74/826.86
  6. Step 6: Final answer
    x = 509.71

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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.