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Finding the Fourth Proportional to 836.20, 1,254.07 and 349.15

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Solution

The fourth proportional to 836.20, 1,254.07 and 349.15 is: 523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.20 : 1,254.07 = 349.15 : x
  2. Step 2: Convert to fraction form
    836.20/1,254.07 = 349.15/x
  3. Step 3: Cross multiply
    836.20x = 1,254.07 × 349.15
  4. Step 4: Simplify right side
    836.20x = 437,858.54
  5. Step 5: Solve for x
    x = 437,858.54/836.20
  6. Step 6: Final answer
    x = 523.63

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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.