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Finding the Fourth Proportional to 919.84, 1,379.04 and 789.28

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Solution

The fourth proportional to 919.84, 1,379.04 and 789.28 is: 1,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.84 : 1,379.04 = 789.28 : x
  2. Step 2: Convert to fraction form
    919.84/1,379.04 = 789.28/x
  3. Step 3: Cross multiply
    919.84x = 1,379.04 × 789.28
  4. Step 4: Simplify right side
    919.84x = 1,088,448.69
  5. Step 5: Solve for x
    x = 1,088,448.69/919.84
  6. Step 6: Final answer
    x = 1,183.30

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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.