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Finding the Fourth Proportional to 1,067.04, 1,608.12 and 1,057.32

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Solution

The fourth proportional to 1,067.04, 1,608.12 and 1,057.32 is: 1,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.04 : 1,608.12 = 1,057.32 : x
  2. Step 2: Convert to fraction form
    1,067.04/1,608.12 = 1,057.32/x
  3. Step 3: Cross multiply
    1,067.04x = 1,608.12 × 1,057.32
  4. Step 4: Simplify right side
    1,067.04x = 1,700,297.44
  5. Step 5: Solve for x
    x = 1,700,297.44/1,067.04
  6. Step 6: Final answer
    x = 1,593.47

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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.