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Finding the Fourth Proportional to 1,199.81, 1,796.92 and 923.71

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Solution

The fourth proportional to 1,199.81, 1,796.92 and 923.71 is: 1,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.81 : 1,796.92 = 923.71 : x
  2. Step 2: Convert to fraction form
    1,199.81/1,796.92 = 923.71/x
  3. Step 3: Cross multiply
    1,199.81x = 1,796.92 × 923.71
  4. Step 4: Simplify right side
    1,199.81x = 1,659,828.35
  5. Step 5: Solve for x
    x = 1,659,828.35/1,199.81
  6. Step 6: Final answer
    x = 1,383.41

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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.