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Finding the Fourth Proportional to 1,384.26, 2,078.21 and 799.84

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Solution

The fourth proportional to 1,384.26, 2,078.21 and 799.84 is: 1,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.26 : 2,078.21 = 799.84 : x
  2. Step 2: Convert to fraction form
    1,384.26/2,078.21 = 799.84/x
  3. Step 3: Cross multiply
    1,384.26x = 2,078.21 × 799.84
  4. Step 4: Simplify right side
    1,384.26x = 1,662,235.49
  5. Step 5: Solve for x
    x = 1,662,235.49/1,384.26
  6. Step 6: Final answer
    x = 1,200.81

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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.