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Finding the Fourth Proportional to 1,180.48, 1,771.80 and 796

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Solution

The fourth proportional to 1,180.48, 1,771.80 and 796 is: 1,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.48 : 1,771.80 = 796 : x
  2. Step 2: Convert to fraction form
    1,180.48/1,771.80 = 796/x
  3. Step 3: Cross multiply
    1,180.48x = 1,771.80 × 796
  4. Step 4: Simplify right side
    1,180.48x = 1,410,352.80
  5. Step 5: Solve for x
    x = 1,410,352.80/1,180.48
  6. Step 6: Final answer
    x = 1,194.73

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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.