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Finding the Fourth Proportional to 1,469.77, 2,204.98 and 495.85

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Solution

The fourth proportional to 1,469.77, 2,204.98 and 495.85 is: 743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.77 : 2,204.98 = 495.85 : x
  2. Step 2: Convert to fraction form
    1,469.77/2,204.98 = 495.85/x
  3. Step 3: Cross multiply
    1,469.77x = 2,204.98 × 495.85
  4. Step 4: Simplify right side
    1,469.77x = 1,093,332.58
  5. Step 5: Solve for x
    x = 1,093,332.58/1,469.77
  6. Step 6: Final answer
    x = 743.88

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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.