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Finding the Fourth Proportional to 921.83, 1,382.81 and 272.57

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Solution

The fourth proportional to 921.83, 1,382.81 and 272.57 is: 408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.83 : 1,382.81 = 272.57 : x
  2. Step 2: Convert to fraction form
    921.83/1,382.81 = 272.57/x
  3. Step 3: Cross multiply
    921.83x = 1,382.81 × 272.57
  4. Step 4: Simplify right side
    921.83x = 376,904.24
  5. Step 5: Solve for x
    x = 376,904.24/921.83
  6. Step 6: Final answer
    x = 408.87

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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.