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Finding the Fourth Proportional to 1,327.77, 1,991.85 and 894

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Solution

The fourth proportional to 1,327.77, 1,991.85 and 894 is: 1,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.77 : 1,991.85 = 894 : x
  2. Step 2: Convert to fraction form
    1,327.77/1,991.85 = 894/x
  3. Step 3: Cross multiply
    1,327.77x = 1,991.85 × 894
  4. Step 4: Simplify right side
    1,327.77x = 1,780,713.90
  5. Step 5: Solve for x
    x = 1,780,713.90/1,327.77
  6. Step 6: Final answer
    x = 1,341.13

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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.