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Finding the Fourth Proportional to 1,199.30, 1,796.97 and 548.60

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Solution

The fourth proportional to 1,199.30, 1,796.97 and 548.60 is: 821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.30 : 1,796.97 = 548.60 : x
  2. Step 2: Convert to fraction form
    1,199.30/1,796.97 = 548.60/x
  3. Step 3: Cross multiply
    1,199.30x = 1,796.97 × 548.60
  4. Step 4: Simplify right side
    1,199.30x = 985,817.74
  5. Step 5: Solve for x
    x = 985,817.74/1,199.30
  6. Step 6: Final answer
    x = 821.99

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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.