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Finding the Fourth Proportional to 1,198.12, 1,797.14 and 495.31

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Solution

The fourth proportional to 1,198.12, 1,797.14 and 495.31 is: 742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.12 : 1,797.14 = 495.31 : x
  2. Step 2: Convert to fraction form
    1,198.12/1,797.14 = 495.31/x
  3. Step 3: Cross multiply
    1,198.12x = 1,797.14 × 495.31
  4. Step 4: Simplify right side
    1,198.12x = 890,138.94
  5. Step 5: Solve for x
    x = 890,138.94/1,198.12
  6. Step 6: Final answer
    x = 742.95

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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.