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Finding the Fourth Proportional to 1,327.46, 1,991.75 and 711

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Solution

The fourth proportional to 1,327.46, 1,991.75 and 711 is: 1,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.46 : 1,991.75 = 711 : x
  2. Step 2: Convert to fraction form
    1,327.46/1,991.75 = 711/x
  3. Step 3: Cross multiply
    1,327.46x = 1,991.75 × 711
  4. Step 4: Simplify right side
    1,327.46x = 1,416,134.25
  5. Step 5: Solve for x
    x = 1,416,134.25/1,327.46
  6. Step 6: Final answer
    x = 1,066.80

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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.