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Finding the Fourth Proportional to 1,443.18, 1,991.78 and 813.85

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Solution

The fourth proportional to 1,443.18, 1,991.78 and 813.85 is: 1,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.18 : 1,991.78 = 813.85 : x
  2. Step 2: Convert to fraction form
    1,443.18/1,991.78 = 813.85/x
  3. Step 3: Cross multiply
    1,443.18x = 1,991.78 × 813.85
  4. Step 4: Simplify right side
    1,443.18x = 1,621,007.21
  5. Step 5: Solve for x
    x = 1,621,007.21/1,443.18
  6. Step 6: Final answer
    x = 1,123.22

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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.