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Finding the Fourth Proportional to 1,067.88, 1,472.34 and 694.32

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Solution

The fourth proportional to 1,067.88, 1,472.34 and 694.32 is: 957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.88 : 1,472.34 = 694.32 : x
  2. Step 2: Convert to fraction form
    1,067.88/1,472.34 = 694.32/x
  3. Step 3: Cross multiply
    1,067.88x = 1,472.34 × 694.32
  4. Step 4: Simplify right side
    1,067.88x = 1,022,275.11
  5. Step 5: Solve for x
    x = 1,022,275.11/1,067.88
  6. Step 6: Final answer
    x = 957.29

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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.