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Finding the Fourth Proportional to 1,278.52, 1,765.38 and 1,180.24

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Solution

The fourth proportional to 1,278.52, 1,765.38 and 1,180.24 is: 1,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.52 : 1,765.38 = 1,180.24 : x
  2. Step 2: Convert to fraction form
    1,278.52/1,765.38 = 1,180.24/x
  3. Step 3: Cross multiply
    1,278.52x = 1,765.38 × 1,180.24
  4. Step 4: Simplify right side
    1,278.52x = 2,083,572.09
  5. Step 5: Solve for x
    x = 2,083,572.09/1,278.52
  6. Step 6: Final answer
    x = 1,629.68

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Why These Related Problems?

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