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Finding the Fourth Proportional to 1,278.69, 1,760.94 and 1,151.57

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Solution

The fourth proportional to 1,278.69, 1,760.94 and 1,151.57 is: 1,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.69 : 1,760.94 = 1,151.57 : x
  2. Step 2: Convert to fraction form
    1,278.69/1,760.94 = 1,151.57/x
  3. Step 3: Cross multiply
    1,278.69x = 1,760.94 × 1,151.57
  4. Step 4: Simplify right side
    1,278.69x = 2,027,839.92
  5. Step 5: Solve for x
    x = 2,027,839.92/1,278.69
  6. Step 6: Final answer
    x = 1,585.87

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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.