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Finding the Fourth Proportional to 1,054.27, 1,581.72 and 323.92

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Solution

The fourth proportional to 1,054.27, 1,581.72 and 323.92 is: 485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.27 : 1,581.72 = 323.92 : x
  2. Step 2: Convert to fraction form
    1,054.27/1,581.72 = 323.92/x
  3. Step 3: Cross multiply
    1,054.27x = 1,581.72 × 323.92
  4. Step 4: Simplify right side
    1,054.27x = 512,350.74
  5. Step 5: Solve for x
    x = 512,350.74/1,054.27
  6. Step 6: Final answer
    x = 485.98

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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.