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Finding the Fourth Proportional to 843.21, 1,163.65 and 528.44

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Solution

The fourth proportional to 843.21, 1,163.65 and 528.44 is: 729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.21 : 1,163.65 = 528.44 : x
  2. Step 2: Convert to fraction form
    843.21/1,163.65 = 528.44/x
  3. Step 3: Cross multiply
    843.21x = 1,163.65 × 528.44
  4. Step 4: Simplify right side
    843.21x = 614,919.21
  5. Step 5: Solve for x
    x = 614,919.21/843.21
  6. Step 6: Final answer
    x = 729.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.