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Finding the Fourth Proportional to 1,112.28, 1,667.26 and 496.27

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Solution

The fourth proportional to 1,112.28, 1,667.26 and 496.27 is: 743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.28 : 1,667.26 = 496.27 : x
  2. Step 2: Convert to fraction form
    1,112.28/1,667.26 = 496.27/x
  3. Step 3: Cross multiply
    1,112.28x = 1,667.26 × 496.27
  4. Step 4: Simplify right side
    1,112.28x = 827,413.82
  5. Step 5: Solve for x
    x = 827,413.82/1,112.28
  6. Step 6: Final answer
    x = 743.89

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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.