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Finding the Fourth Proportional to 811.92, 1,216.44 and 400.44

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Solution

The fourth proportional to 811.92, 1,216.44 and 400.44 is: 599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.92 : 1,216.44 = 400.44 : x
  2. Step 2: Convert to fraction form
    811.92/1,216.44 = 400.44/x
  3. Step 3: Cross multiply
    811.92x = 1,216.44 × 400.44
  4. Step 4: Simplify right side
    811.92x = 487,111.23
  5. Step 5: Solve for x
    x = 487,111.23/811.92
  6. Step 6: Final answer
    x = 599.95

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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.