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Finding the Fourth Proportional to 921.27, 1,382.15 and 482.74

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Solution

The fourth proportional to 921.27, 1,382.15 and 482.74 is: 724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.27 : 1,382.15 = 482.74 : x
  2. Step 2: Convert to fraction form
    921.27/1,382.15 = 482.74/x
  3. Step 3: Cross multiply
    921.27x = 1,382.15 × 482.74
  4. Step 4: Simplify right side
    921.27x = 667,214.13
  5. Step 5: Solve for x
    x = 667,214.13/921.27
  6. Step 6: Final answer
    x = 724.23

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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.