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Finding the Fourth Proportional to 1,469.21, 2,204.13 and 495.29

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Solution

The fourth proportional to 1,469.21, 2,204.13 and 495.29 is: 743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.21 : 2,204.13 = 495.29 : x
  2. Step 2: Convert to fraction form
    1,469.21/2,204.13 = 495.29/x
  3. Step 3: Cross multiply
    1,469.21x = 2,204.13 × 495.29
  4. Step 4: Simplify right side
    1,469.21x = 1,091,683.55
  5. Step 5: Solve for x
    x = 1,091,683.55/1,469.21
  6. Step 6: Final answer
    x = 743.04

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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.