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Finding the Fourth Proportional to 1,067.76, 1,592.42 and 1,042.92

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Solution

The fourth proportional to 1,067.76, 1,592.42 and 1,042.92 is: 1,555.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.76 : 1,592.42 = 1,042.92 : x
  2. Step 2: Convert to fraction form
    1,067.76/1,592.42 = 1,042.92/x
  3. Step 3: Cross multiply
    1,067.76x = 1,592.42 × 1,042.92
  4. Step 4: Simplify right side
    1,067.76x = 1,660,761.45
  5. Step 5: Solve for x
    x = 1,660,761.45/1,067.76
  6. Step 6: Final answer
    x = 1,555.37

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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.