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Finding the Fourth Proportional to 1,180.71, 1,761.84 and 1,057.73

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Solution

The fourth proportional to 1,180.71, 1,761.84 and 1,057.73 is: 1,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.71 : 1,761.84 = 1,057.73 : x
  2. Step 2: Convert to fraction form
    1,180.71/1,761.84 = 1,057.73/x
  3. Step 3: Cross multiply
    1,180.71x = 1,761.84 × 1,057.73
  4. Step 4: Simplify right side
    1,180.71x = 1,863,542.21
  5. Step 5: Solve for x
    x = 1,863,542.21/1,180.71
  6. Step 6: Final answer
    x = 1,578.32

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Why These Related Problems?

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