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Finding the Fourth Proportional to 1,067.34, 1,600.91 and 656.27

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Solution

The fourth proportional to 1,067.34, 1,600.91 and 656.27 is: 984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.34 : 1,600.91 = 656.27 : x
  2. Step 2: Convert to fraction form
    1,067.34/1,600.91 = 656.27/x
  3. Step 3: Cross multiply
    1,067.34x = 1,600.91 × 656.27
  4. Step 4: Simplify right side
    1,067.34x = 1,050,629.21
  5. Step 5: Solve for x
    x = 1,050,629.21/1,067.34
  6. Step 6: Final answer
    x = 984.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.