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Finding the Fourth Proportional to 1,202.74, 1,795.41 and 1,112.56

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Solution

The fourth proportional to 1,202.74, 1,795.41 and 1,112.56 is: 1,660.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.74 : 1,795.41 = 1,112.56 : x
  2. Step 2: Convert to fraction form
    1,202.74/1,795.41 = 1,112.56/x
  3. Step 3: Cross multiply
    1,202.74x = 1,795.41 × 1,112.56
  4. Step 4: Simplify right side
    1,202.74x = 1,997,496.86
  5. Step 5: Solve for x
    x = 1,997,496.86/1,202.74
  6. Step 6: Final answer
    x = 1,660.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.