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Finding the Fourth Proportional to 1,327.04, 1,991.54 and 494.87

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Solution

The fourth proportional to 1,327.04, 1,991.54 and 494.87 is: 742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.04 : 1,991.54 = 494.87 : x
  2. Step 2: Convert to fraction form
    1,327.04/1,991.54 = 494.87/x
  3. Step 3: Cross multiply
    1,327.04x = 1,991.54 × 494.87
  4. Step 4: Simplify right side
    1,327.04x = 985,553.40
  5. Step 5: Solve for x
    x = 985,553.40/1,327.04
  6. Step 6: Final answer
    x = 742.67

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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.