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Finding the Fourth Proportional to 1,443.56, 1,991.82 and 854.18

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Solution

The fourth proportional to 1,443.56, 1,991.82 and 854.18 is: 1,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.56 : 1,991.82 = 854.18 : x
  2. Step 2: Convert to fraction form
    1,443.56/1,991.82 = 854.18/x
  3. Step 3: Cross multiply
    1,443.56x = 1,991.82 × 854.18
  4. Step 4: Simplify right side
    1,443.56x = 1,701,372.81
  5. Step 5: Solve for x
    x = 1,701,372.81/1,443.56
  6. Step 6: Final answer
    x = 1,178.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.