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Finding the Fourth Proportional to 836.75, 1,255.67 and 323.75

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Solution

The fourth proportional to 836.75, 1,255.67 and 323.75 is: 485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.75 : 1,255.67 = 323.75 : x
  2. Step 2: Convert to fraction form
    836.75/1,255.67 = 323.75/x
  3. Step 3: Cross multiply
    836.75x = 1,255.67 × 323.75
  4. Step 4: Simplify right side
    836.75x = 406,521.54
  5. Step 5: Solve for x
    x = 406,521.54/836.75
  6. Step 6: Final answer
    x = 485.83

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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.