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Finding the Fourth Proportional to 1,469.62, 2,204.76 and 495.69

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Solution

The fourth proportional to 1,469.62, 2,204.76 and 495.69 is: 743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.62 : 2,204.76 = 495.69 : x
  2. Step 2: Convert to fraction form
    1,469.62/2,204.76 = 495.69/x
  3. Step 3: Cross multiply
    1,469.62x = 2,204.76 × 495.69
  4. Step 4: Simplify right side
    1,469.62x = 1,092,875.01
  5. Step 5: Solve for x
    x = 1,092,875.01/1,469.62
  6. Step 6: Final answer
    x = 743.65

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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.