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Finding the Fourth Proportional to 1,197.92, 1,797.48 and 495.64

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Solution

The fourth proportional to 1,197.92, 1,797.48 and 495.64 is: 743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.92 : 1,797.48 = 495.64 : x
  2. Step 2: Convert to fraction form
    1,197.92/1,797.48 = 495.64/x
  3. Step 3: Cross multiply
    1,197.92x = 1,797.48 × 495.64
  4. Step 4: Simplify right side
    1,197.92x = 890,902.99
  5. Step 5: Solve for x
    x = 890,902.99/1,197.92
  6. Step 6: Final answer
    x = 743.71

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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.