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Finding the Fourth Proportional to 1,443.29, 2,165.21 and 621.41

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Solution

The fourth proportional to 1,443.29, 2,165.21 and 621.41 is: 932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.29 : 2,165.21 = 621.41 : x
  2. Step 2: Convert to fraction form
    1,443.29/2,165.21 = 621.41/x
  3. Step 3: Cross multiply
    1,443.29x = 2,165.21 × 621.41
  4. Step 4: Simplify right side
    1,443.29x = 1,345,480.04
  5. Step 5: Solve for x
    x = 1,345,480.04/1,443.29
  6. Step 6: Final answer
    x = 932.23

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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.