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Finding the Fourth Proportional to 850.38, 1,267.46 and 843.54

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Solution

The fourth proportional to 850.38, 1,267.46 and 843.54 is: 1,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.38 : 1,267.46 = 843.54 : x
  2. Step 2: Convert to fraction form
    850.38/1,267.46 = 843.54/x
  3. Step 3: Cross multiply
    850.38x = 1,267.46 × 843.54
  4. Step 4: Simplify right side
    850.38x = 1,069,148.99
  5. Step 5: Solve for x
    x = 1,069,148.99/850.38
  6. Step 6: Final answer
    x = 1,257.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.