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Finding the Fourth Proportional to 836.14, 1,254.21 and 397.43

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Solution

The fourth proportional to 836.14, 1,254.21 and 397.43 is: 596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.14 : 1,254.21 = 397.43 : x
  2. Step 2: Convert to fraction form
    836.14/1,254.21 = 397.43/x
  3. Step 3: Cross multiply
    836.14x = 1,254.21 × 397.43
  4. Step 4: Simplify right side
    836.14x = 498,463.94
  5. Step 5: Solve for x
    x = 498,463.94/836.14
  6. Step 6: Final answer
    x = 596.15

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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.