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Finding the Fourth Proportional to 1,180.07, 1,770.36 and 449.65

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Solution

The fourth proportional to 1,180.07, 1,770.36 and 449.65 is: 674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.07 : 1,770.36 = 449.65 : x
  2. Step 2: Convert to fraction form
    1,180.07/1,770.36 = 449.65/x
  3. Step 3: Cross multiply
    1,180.07x = 1,770.36 × 449.65
  4. Step 4: Simplify right side
    1,180.07x = 796,042.90
  5. Step 5: Solve for x
    x = 796,042.90/1,180.07
  6. Step 6: Final answer
    x = 674.57

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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.