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Finding the Fourth Proportional to 1,469.05, 2,203.56 and 495.15

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Solution

The fourth proportional to 1,469.05, 2,203.56 and 495.15 is: 742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.05 : 2,203.56 = 495.15 : x
  2. Step 2: Convert to fraction form
    1,469.05/2,203.56 = 495.15/x
  3. Step 3: Cross multiply
    1,469.05x = 2,203.56 × 495.15
  4. Step 4: Simplify right side
    1,469.05x = 1,091,092.73
  5. Step 5: Solve for x
    x = 1,091,092.73/1,469.05
  6. Step 6: Final answer
    x = 742.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.