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Finding the Fourth Proportional to 982.16, 1,354.56 and 843.60

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Solution

The fourth proportional to 982.16, 1,354.56 and 843.60 is: 1,163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.16 : 1,354.56 = 843.60 : x
  2. Step 2: Convert to fraction form
    982.16/1,354.56 = 843.60/x
  3. Step 3: Cross multiply
    982.16x = 1,354.56 × 843.60
  4. Step 4: Simplify right side
    982.16x = 1,142,706.82
  5. Step 5: Solve for x
    x = 1,142,706.82/982.16
  6. Step 6: Final answer
    x = 1,163.46

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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.