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Finding the Fourth Proportional to 1,469.21, 2,203.94 and 495.32

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Solution

The fourth proportional to 1,469.21, 2,203.94 and 495.32 is: 743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.21 : 2,203.94 = 495.32 : x
  2. Step 2: Convert to fraction form
    1,469.21/2,203.94 = 495.32/x
  3. Step 3: Cross multiply
    1,469.21x = 2,203.94 × 495.32
  4. Step 4: Simplify right side
    1,469.21x = 1,091,645.78
  5. Step 5: Solve for x
    x = 1,091,645.78/1,469.21
  6. Step 6: Final answer
    x = 743.02

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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.