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Finding the Fourth Proportional to 1,216.22, 1,824.37 and 394.50

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Solution

The fourth proportional to 1,216.22, 1,824.37 and 394.50 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.22 : 1,824.37 = 394.50 : x
  2. Step 2: Convert to fraction form
    1,216.22/1,824.37 = 394.50/x
  3. Step 3: Cross multiply
    1,216.22x = 1,824.37 × 394.50
  4. Step 4: Simplify right side
    1,216.22x = 719,713.97
  5. Step 5: Solve for x
    x = 719,713.97/1,216.22
  6. Step 6: Final answer
    x = 591.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.