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Finding the Fourth Proportional to 1,353.11, 2,029.44 and 379.31

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Solution

The fourth proportional to 1,353.11, 2,029.44 and 379.31 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.11 : 2,029.44 = 379.31 : x
  2. Step 2: Convert to fraction form
    1,353.11/2,029.44 = 379.31/x
  3. Step 3: Cross multiply
    1,353.11x = 2,029.44 × 379.31
  4. Step 4: Simplify right side
    1,353.11x = 769,786.89
  5. Step 5: Solve for x
    x = 769,786.89/1,353.11
  6. Step 6: Final answer
    x = 568.90

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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.