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Finding the Fourth Proportional to 1,189.33, 1,783.83 and 539.91

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Solution

The fourth proportional to 1,189.33, 1,783.83 and 539.91 is: 809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.33 : 1,783.83 = 539.91 : x
  2. Step 2: Convert to fraction form
    1,189.33/1,783.83 = 539.91/x
  3. Step 3: Cross multiply
    1,189.33x = 1,783.83 × 539.91
  4. Step 4: Simplify right side
    1,189.33x = 963,107.66
  5. Step 5: Solve for x
    x = 963,107.66/1,189.33
  6. Step 6: Final answer
    x = 809.79

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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.