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Finding the Fourth Proportional to 982.83, 1,474.26 and 252.39

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Solution

The fourth proportional to 982.83, 1,474.26 and 252.39 is: 378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.83 : 1,474.26 = 252.39 : x
  2. Step 2: Convert to fraction form
    982.83/1,474.26 = 252.39/x
  3. Step 3: Cross multiply
    982.83x = 1,474.26 × 252.39
  4. Step 4: Simplify right side
    982.83x = 372,087.22
  5. Step 5: Solve for x
    x = 372,087.22/982.83
  6. Step 6: Final answer
    x = 378.59

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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.