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Finding the Fourth Proportional to 1,367.46, 2,050.90 and 393.30

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Solution

The fourth proportional to 1,367.46, 2,050.90 and 393.30 is: 589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.46 : 2,050.90 = 393.30 : x
  2. Step 2: Convert to fraction form
    1,367.46/2,050.90 = 393.30/x
  3. Step 3: Cross multiply
    1,367.46x = 2,050.90 × 393.30
  4. Step 4: Simplify right side
    1,367.46x = 806,618.97
  5. Step 5: Solve for x
    x = 806,618.97/1,367.46
  6. Step 6: Final answer
    x = 589.87

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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.