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Finding the Fourth Proportional to 1,443.24, 1,991.55 and 813.92

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Solution

The fourth proportional to 1,443.24, 1,991.55 and 813.92 is: 1,123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.24 : 1,991.55 = 813.92 : x
  2. Step 2: Convert to fraction form
    1,443.24/1,991.55 = 813.92/x
  3. Step 3: Cross multiply
    1,443.24x = 1,991.55 × 813.92
  4. Step 4: Simplify right side
    1,443.24x = 1,620,969.39
  5. Step 5: Solve for x
    x = 1,620,969.39/1,443.24
  6. Step 6: Final answer
    x = 1,123.15

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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.