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Finding the Fourth Proportional to 1,054.43, 1,581.60 and 323.99

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Solution

The fourth proportional to 1,054.43, 1,581.60 and 323.99 is: 485.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.43 : 1,581.60 = 323.99 : x
  2. Step 2: Convert to fraction form
    1,054.43/1,581.60 = 323.99/x
  3. Step 3: Cross multiply
    1,054.43x = 1,581.60 × 323.99
  4. Step 4: Simplify right side
    1,054.43x = 512,414.68
  5. Step 5: Solve for x
    x = 512,414.68/1,054.43
  6. Step 6: Final answer
    x = 485.96

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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.