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Finding the Fourth Proportional to 1,391.20, 2,086.79 and 365.20

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Solution

The fourth proportional to 1,391.20, 2,086.79 and 365.20 is: 547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.20 : 2,086.79 = 365.20 : x
  2. Step 2: Convert to fraction form
    1,391.20/2,086.79 = 365.20/x
  3. Step 3: Cross multiply
    1,391.20x = 2,086.79 × 365.20
  4. Step 4: Simplify right side
    1,391.20x = 762,083.45
  5. Step 5: Solve for x
    x = 762,083.45/1,391.20
  6. Step 6: Final answer
    x = 547.79

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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.