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Finding the Fourth Proportional to 982.06, 1,353.50 and 867.49

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Solution

The fourth proportional to 982.06, 1,353.50 and 867.49 is: 1,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.06 : 1,353.50 = 867.49 : x
  2. Step 2: Convert to fraction form
    982.06/1,353.50 = 867.49/x
  3. Step 3: Cross multiply
    982.06x = 1,353.50 × 867.49
  4. Step 4: Simplify right side
    982.06x = 1,174,149.64
  5. Step 5: Solve for x
    x = 1,174,149.64/982.06
  6. Step 6: Final answer
    x = 1,195.60

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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.