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Finding the Fourth Proportional to 1,067.64, 1,601.96 and 451.50

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Solution

The fourth proportional to 1,067.64, 1,601.96 and 451.50 is: 677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.64 : 1,601.96 = 451.50 : x
  2. Step 2: Convert to fraction form
    1,067.64/1,601.96 = 451.50/x
  3. Step 3: Cross multiply
    1,067.64x = 1,601.96 × 451.50
  4. Step 4: Simplify right side
    1,067.64x = 723,282.68
  5. Step 5: Solve for x
    x = 723,282.68/1,067.64
  6. Step 6: Final answer
    x = 677.46

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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.