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Finding the Fourth Proportional to 1,067.75, 1,473.43 and 688.97

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Solution

The fourth proportional to 1,067.75, 1,473.43 and 688.97 is: 950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.75 : 1,473.43 = 688.97 : x
  2. Step 2: Convert to fraction form
    1,067.75/1,473.43 = 688.97/x
  3. Step 3: Cross multiply
    1,067.75x = 1,473.43 × 688.97
  4. Step 4: Simplify right side
    1,067.75x = 1,015,149.07
  5. Step 5: Solve for x
    x = 1,015,149.07/1,067.75
  6. Step 6: Final answer
    x = 950.74

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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.