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Finding the Fourth Proportional to 980.55, 1,469.31 and 774.61

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Solution

The fourth proportional to 980.55, 1,469.31 and 774.61 is: 1,160.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.55 : 1,469.31 = 774.61 : x
  2. Step 2: Convert to fraction form
    980.55/1,469.31 = 774.61/x
  3. Step 3: Cross multiply
    980.55x = 1,469.31 × 774.61
  4. Step 4: Simplify right side
    980.55x = 1,138,142.22
  5. Step 5: Solve for x
    x = 1,138,142.22/980.55
  6. Step 6: Final answer
    x = 1,160.72

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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.