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Finding the Fourth Proportional to 671.38, 919.81 and 645.46

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Solution

The fourth proportional to 671.38, 919.81 and 645.46 is: 884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.38 : 919.81 = 645.46 : x
  2. Step 2: Convert to fraction form
    671.38/919.81 = 645.46/x
  3. Step 3: Cross multiply
    671.38x = 919.81 × 645.46
  4. Step 4: Simplify right side
    671.38x = 593,700.56
  5. Step 5: Solve for x
    x = 593,700.56/671.38
  6. Step 6: Final answer
    x = 884.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.