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Finding the Fourth Proportional to 711.22, 1,067.64 and 423.26

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Solution

The fourth proportional to 711.22, 1,067.64 and 423.26 is: 635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.22 : 1,067.64 = 423.26 : x
  2. Step 2: Convert to fraction form
    711.22/1,067.64 = 423.26/x
  3. Step 3: Cross multiply
    711.22x = 1,067.64 × 423.26
  4. Step 4: Simplify right side
    711.22x = 451,889.31
  5. Step 5: Solve for x
    x = 451,889.31/711.22
  6. Step 6: Final answer
    x = 635.37

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