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Finding the Fourth Proportional to 1,327.94, 1,992.15 and 548.38

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Solution

The fourth proportional to 1,327.94, 1,992.15 and 548.38 is: 822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.94 : 1,992.15 = 548.38 : x
  2. Step 2: Convert to fraction form
    1,327.94/1,992.15 = 548.38/x
  3. Step 3: Cross multiply
    1,327.94x = 1,992.15 × 548.38
  4. Step 4: Simplify right side
    1,327.94x = 1,092,450.24
  5. Step 5: Solve for x
    x = 1,092,450.24/1,327.94
  6. Step 6: Final answer
    x = 822.67

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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.