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Finding the Fourth Proportional to 843.82, 1,265.42 and 405.05

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Solution

The fourth proportional to 843.82, 1,265.42 and 405.05 is: 607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.82 : 1,265.42 = 405.05 : x
  2. Step 2: Convert to fraction form
    843.82/1,265.42 = 405.05/x
  3. Step 3: Cross multiply
    843.82x = 1,265.42 × 405.05
  4. Step 4: Simplify right side
    843.82x = 512,560.17
  5. Step 5: Solve for x
    x = 512,560.17/843.82
  6. Step 6: Final answer
    x = 607.43

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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.