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Finding the Fourth Proportional to 1,067.52, 1,608.96 and 1,025.28

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Solution

The fourth proportional to 1,067.52, 1,608.96 and 1,025.28 is: 1,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.52 : 1,608.96 = 1,025.28 : x
  2. Step 2: Convert to fraction form
    1,067.52/1,608.96 = 1,025.28/x
  3. Step 3: Cross multiply
    1,067.52x = 1,608.96 × 1,025.28
  4. Step 4: Simplify right side
    1,067.52x = 1,649,634.51
  5. Step 5: Solve for x
    x = 1,649,634.51/1,067.52
  6. Step 6: Final answer
    x = 1,545.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.