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Finding the Fourth Proportional to 919.31, 1,378.79 and 480.09

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Solution

The fourth proportional to 919.31, 1,378.79 and 480.09 is: 720.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.31 : 1,378.79 = 480.09 : x
  2. Step 2: Convert to fraction form
    919.31/1,378.79 = 480.09/x
  3. Step 3: Cross multiply
    919.31x = 1,378.79 × 480.09
  4. Step 4: Simplify right side
    919.31x = 661,936.40
  5. Step 5: Solve for x
    x = 661,936.40/919.31
  6. Step 6: Final answer
    x = 720.04

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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.