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Finding the Fourth Proportional to 1,112.44, 1,667.59 and 496.23

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Solution

The fourth proportional to 1,112.44, 1,667.59 and 496.23 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.44 : 1,667.59 = 496.23 : x
  2. Step 2: Convert to fraction form
    1,112.44/1,667.59 = 496.23/x
  3. Step 3: Cross multiply
    1,112.44x = 1,667.59 × 496.23
  4. Step 4: Simplify right side
    1,112.44x = 827,508.19
  5. Step 5: Solve for x
    x = 827,508.19/1,112.44
  6. Step 6: Final answer
    x = 743.87

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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.