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Finding the Fourth Proportional to 1,469.82, 2,204.72 and 496.61

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Solution

The fourth proportional to 1,469.82, 2,204.72 and 496.61 is: 744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.82 : 2,204.72 = 496.61 : x
  2. Step 2: Convert to fraction form
    1,469.82/2,204.72 = 496.61/x
  3. Step 3: Cross multiply
    1,469.82x = 2,204.72 × 496.61
  4. Step 4: Simplify right side
    1,469.82x = 1,094,872.49
  5. Step 5: Solve for x
    x = 1,094,872.49/1,469.82
  6. Step 6: Final answer
    x = 744.90

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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.