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Finding the Fourth Proportional to 839.20, 1,259.12 and 326.56

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Solution

The fourth proportional to 839.20, 1,259.12 and 326.56 is: 489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.20 : 1,259.12 = 326.56 : x
  2. Step 2: Convert to fraction form
    839.20/1,259.12 = 326.56/x
  3. Step 3: Cross multiply
    839.20x = 1,259.12 × 326.56
  4. Step 4: Simplify right side
    839.20x = 411,178.23
  5. Step 5: Solve for x
    x = 411,178.23/839.20
  6. Step 6: Final answer
    x = 489.96

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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.