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Finding the Fourth Proportional to 1,278.51, 1,760.43 and 1,120.23

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Solution

The fourth proportional to 1,278.51, 1,760.43 and 1,120.23 is: 1,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.51 : 1,760.43 = 1,120.23 : x
  2. Step 2: Convert to fraction form
    1,278.51/1,760.43 = 1,120.23/x
  3. Step 3: Cross multiply
    1,278.51x = 1,760.43 × 1,120.23
  4. Step 4: Simplify right side
    1,278.51x = 1,972,086.50
  5. Step 5: Solve for x
    x = 1,972,086.50/1,278.51
  6. Step 6: Final answer
    x = 1,542.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.