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Finding the Fourth Proportional to 1,327.95, 1,991.92 and 354.05

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Solution

The fourth proportional to 1,327.95, 1,991.92 and 354.05 is: 531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.95 : 1,991.92 = 354.05 : x
  2. Step 2: Convert to fraction form
    1,327.95/1,991.92 = 354.05/x
  3. Step 3: Cross multiply
    1,327.95x = 1,991.92 × 354.05
  4. Step 4: Simplify right side
    1,327.95x = 705,241.77
  5. Step 5: Solve for x
    x = 705,241.77/1,327.95
  6. Step 6: Final answer
    x = 531.08

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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.