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Finding the Fourth Proportional to 1,394.28, 2,091.83 and 529.20

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Solution

The fourth proportional to 1,394.28, 2,091.83 and 529.20 is: 793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.28 : 2,091.83 = 529.20 : x
  2. Step 2: Convert to fraction form
    1,394.28/2,091.83 = 529.20/x
  3. Step 3: Cross multiply
    1,394.28x = 2,091.83 × 529.20
  4. Step 4: Simplify right side
    1,394.28x = 1,106,993.79
  5. Step 5: Solve for x
    x = 1,106,993.79/1,394.28
  6. Step 6: Final answer
    x = 793.95

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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.