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Finding the Fourth Proportional to 1,367.20, 2,050.83 and 393.31

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Solution

The fourth proportional to 1,367.20, 2,050.83 and 393.31 is: 589.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.20 : 2,050.83 = 393.31 : x
  2. Step 2: Convert to fraction form
    1,367.20/2,050.83 = 393.31/x
  3. Step 3: Cross multiply
    1,367.20x = 2,050.83 × 393.31
  4. Step 4: Simplify right side
    1,367.20x = 806,611.95
  5. Step 5: Solve for x
    x = 806,611.95/1,367.20
  6. Step 6: Final answer
    x = 589.97

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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.