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Finding the Fourth Proportional to 1,180, 1,770.48 and 449.80

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Solution

The fourth proportional to 1,180, 1,770.48 and 449.80 is: 674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180 : 1,770.48 = 449.80 : x
  2. Step 2: Convert to fraction form
    1,180/1,770.48 = 449.80/x
  3. Step 3: Cross multiply
    1,180x = 1,770.48 × 449.80
  4. Step 4: Simplify right side
    1,180x = 796,361.90
  5. Step 5: Solve for x
    x = 796,361.90/1,180
  6. Step 6: Final answer
    x = 674.88

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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.