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Finding the Fourth Proportional to 1,394.44, 2,091.70 and 517.02

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Solution

The fourth proportional to 1,394.44, 2,091.70 and 517.02 is: 775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.44 : 2,091.70 = 517.02 : x
  2. Step 2: Convert to fraction form
    1,394.44/2,091.70 = 517.02/x
  3. Step 3: Cross multiply
    1,394.44x = 2,091.70 × 517.02
  4. Step 4: Simplify right side
    1,394.44x = 1,081,450.73
  5. Step 5: Solve for x
    x = 1,081,450.73/1,394.44
  6. Step 6: Final answer
    x = 775.54

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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.