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Finding the Fourth Proportional to 1,028.86, 1,426.69 and 994.23

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Solution

The fourth proportional to 1,028.86, 1,426.69 and 994.23 is: 1,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.86 : 1,426.69 = 994.23 : x
  2. Step 2: Convert to fraction form
    1,028.86/1,426.69 = 994.23/x
  3. Step 3: Cross multiply
    1,028.86x = 1,426.69 × 994.23
  4. Step 4: Simplify right side
    1,028.86x = 1,418,458.00
  5. Step 5: Solve for x
    x = 1,418,458.00/1,028.86
  6. Step 6: Final answer
    x = 1,378.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.