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Finding the Fourth Proportional to 1,067.25, 1,467.09 and 954.03

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Solution

The fourth proportional to 1,067.25, 1,467.09 and 954.03 is: 1,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.25 : 1,467.09 = 954.03 : x
  2. Step 2: Convert to fraction form
    1,067.25/1,467.09 = 954.03/x
  3. Step 3: Cross multiply
    1,067.25x = 1,467.09 × 954.03
  4. Step 4: Simplify right side
    1,067.25x = 1,399,647.87
  5. Step 5: Solve for x
    x = 1,399,647.87/1,067.25
  6. Step 6: Final answer
    x = 1,311.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.