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Finding the Fourth Proportional to 1,327.41, 1,991.96 and 596.99

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Solution

The fourth proportional to 1,327.41, 1,991.96 and 596.99 is: 895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.41 : 1,991.96 = 596.99 : x
  2. Step 2: Convert to fraction form
    1,327.41/1,991.96 = 596.99/x
  3. Step 3: Cross multiply
    1,327.41x = 1,991.96 × 596.99
  4. Step 4: Simplify right side
    1,327.41x = 1,189,167.26
  5. Step 5: Solve for x
    x = 1,189,167.26/1,327.41
  6. Step 6: Final answer
    x = 895.86

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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.