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Finding the Fourth Proportional to 836.42, 1,254.76 and 397.46

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Solution

The fourth proportional to 836.42, 1,254.76 and 397.46 is: 596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.42 : 1,254.76 = 397.46 : x
  2. Step 2: Convert to fraction form
    836.42/1,254.76 = 397.46/x
  3. Step 3: Cross multiply
    836.42x = 1,254.76 × 397.46
  4. Step 4: Simplify right side
    836.42x = 498,719.05
  5. Step 5: Solve for x
    x = 498,719.05/836.42
  6. Step 6: Final answer
    x = 596.26

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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.