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Finding the Fourth Proportional to 836.56, 1,254.84 and 397.54

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Solution

The fourth proportional to 836.56, 1,254.84 and 397.54 is: 596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.56 : 1,254.84 = 397.54 : x
  2. Step 2: Convert to fraction form
    836.56/1,254.84 = 397.54/x
  3. Step 3: Cross multiply
    836.56x = 1,254.84 × 397.54
  4. Step 4: Simplify right side
    836.56x = 498,849.09
  5. Step 5: Solve for x
    x = 498,849.09/836.56
  6. Step 6: Final answer
    x = 596.31

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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.