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Finding the Fourth Proportional to 1,216.33, 1,824.49 and 394.58

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Solution

The fourth proportional to 1,216.33, 1,824.49 and 394.58 is: 591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.33 : 1,824.49 = 394.58 : x
  2. Step 2: Convert to fraction form
    1,216.33/1,824.49 = 394.58/x
  3. Step 3: Cross multiply
    1,216.33x = 1,824.49 × 394.58
  4. Step 4: Simplify right side
    1,216.33x = 719,912.32
  5. Step 5: Solve for x
    x = 719,912.32/1,216.33
  6. Step 6: Final answer
    x = 591.87

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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.