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Finding the Fourth Proportional to 1,469.65, 2,204.32 and 495.76

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Solution

The fourth proportional to 1,469.65, 2,204.32 and 495.76 is: 743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.65 : 2,204.32 = 495.76 : x
  2. Step 2: Convert to fraction form
    1,469.65/2,204.32 = 495.76/x
  3. Step 3: Cross multiply
    1,469.65x = 2,204.32 × 495.76
  4. Step 4: Simplify right side
    1,469.65x = 1,092,813.68
  5. Step 5: Solve for x
    x = 1,092,813.68/1,469.65
  6. Step 6: Final answer
    x = 743.59

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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.