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Finding the Fourth Proportional to 1,112.22, 1,667.93 and 495.81

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Solution

The fourth proportional to 1,112.22, 1,667.93 and 495.81 is: 743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.22 : 1,667.93 = 495.81 : x
  2. Step 2: Convert to fraction form
    1,112.22/1,667.93 = 495.81/x
  3. Step 3: Cross multiply
    1,112.22x = 1,667.93 × 495.81
  4. Step 4: Simplify right side
    1,112.22x = 826,973.89
  5. Step 5: Solve for x
    x = 826,973.89/1,112.22
  6. Step 6: Final answer
    x = 743.53

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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.