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Finding the Fourth Proportional to 836.92, 1,254.88 and 343.18

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Solution

The fourth proportional to 836.92, 1,254.88 and 343.18 is: 514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.92 : 1,254.88 = 343.18 : x
  2. Step 2: Convert to fraction form
    836.92/1,254.88 = 343.18/x
  3. Step 3: Cross multiply
    836.92x = 1,254.88 × 343.18
  4. Step 4: Simplify right side
    836.92x = 430,649.72
  5. Step 5: Solve for x
    x = 430,649.72/836.92
  6. Step 6: Final answer
    x = 514.56

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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.