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Finding the Fourth Proportional to 1,469.70, 2,204.66 and 495.48

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Solution

The fourth proportional to 1,469.70, 2,204.66 and 495.48 is: 743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.70 : 2,204.66 = 495.48 : x
  2. Step 2: Convert to fraction form
    1,469.70/2,204.66 = 495.48/x
  3. Step 3: Cross multiply
    1,469.70x = 2,204.66 × 495.48
  4. Step 4: Simplify right side
    1,469.70x = 1,092,364.94
  5. Step 5: Solve for x
    x = 1,092,364.94/1,469.70
  6. Step 6: Final answer
    x = 743.26

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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.