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Finding the Fourth Proportional to 1,199.49, 1,796.83 and 549.33

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Solution

The fourth proportional to 1,199.49, 1,796.83 and 549.33 is: 822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.49 : 1,796.83 = 549.33 : x
  2. Step 2: Convert to fraction form
    1,199.49/1,796.83 = 549.33/x
  3. Step 3: Cross multiply
    1,199.49x = 1,796.83 × 549.33
  4. Step 4: Simplify right side
    1,199.49x = 987,052.62
  5. Step 5: Solve for x
    x = 987,052.62/1,199.49
  6. Step 6: Final answer
    x = 822.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.