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Finding the Fourth Proportional to 789.44, 1,185.44 and 756.16

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Solution

The fourth proportional to 789.44, 1,185.44 and 756.16 is: 1,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.44 : 1,185.44 = 756.16 : x
  2. Step 2: Convert to fraction form
    789.44/1,185.44 = 756.16/x
  3. Step 3: Cross multiply
    789.44x = 1,185.44 × 756.16
  4. Step 4: Simplify right side
    789.44x = 896,382.31
  5. Step 5: Solve for x
    x = 896,382.31/789.44
  6. Step 6: Final answer
    x = 1,135.47

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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.