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Finding the Fourth Proportional to 1,327.43, 1,991.07 and 547.41

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Solution

The fourth proportional to 1,327.43, 1,991.07 and 547.41 is: 821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.43 : 1,991.07 = 547.41 : x
  2. Step 2: Convert to fraction form
    1,327.43/1,991.07 = 547.41/x
  3. Step 3: Cross multiply
    1,327.43x = 1,991.07 × 547.41
  4. Step 4: Simplify right side
    1,327.43x = 1,089,941.15
  5. Step 5: Solve for x
    x = 1,089,941.15/1,327.43
  6. Step 6: Final answer
    x = 821.09

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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.