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Finding the Fourth Proportional to 789.44, 1,175.90 and 779.85

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Solution

The fourth proportional to 789.44, 1,175.90 and 779.85 is: 1,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.44 : 1,175.90 = 779.85 : x
  2. Step 2: Convert to fraction form
    789.44/1,175.90 = 779.85/x
  3. Step 3: Cross multiply
    789.44x = 1,175.90 × 779.85
  4. Step 4: Simplify right side
    789.44x = 917,021.72
  5. Step 5: Solve for x
    x = 917,021.72/789.44
  6. Step 6: Final answer
    x = 1,161.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.