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Finding the Fourth Proportional to 836.82, 1,254.12 and 397.48

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Solution

The fourth proportional to 836.82, 1,254.12 and 397.48 is: 595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,254.12 = 397.48 : x
  2. Step 2: Convert to fraction form
    836.82/1,254.12 = 397.48/x
  3. Step 3: Cross multiply
    836.82x = 1,254.12 × 397.48
  4. Step 4: Simplify right side
    836.82x = 498,487.62
  5. Step 5: Solve for x
    x = 498,487.62/836.82
  6. Step 6: Final answer
    x = 595.69

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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.