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Finding the Fourth Proportional to 1,327.69, 1,992.18 and 548.29

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Solution

The fourth proportional to 1,327.69, 1,992.18 and 548.29 is: 822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.69 : 1,992.18 = 548.29 : x
  2. Step 2: Convert to fraction form
    1,327.69/1,992.18 = 548.29/x
  3. Step 3: Cross multiply
    1,327.69x = 1,992.18 × 548.29
  4. Step 4: Simplify right side
    1,327.69x = 1,092,292.37
  5. Step 5: Solve for x
    x = 1,092,292.37/1,327.69
  6. Step 6: Final answer
    x = 822.70

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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.