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Finding the Fourth Proportional to 1,216.19, 1,824.29 and 394.55

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Solution

The fourth proportional to 1,216.19, 1,824.29 and 394.55 is: 591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.19 : 1,824.29 = 394.55 : x
  2. Step 2: Convert to fraction form
    1,216.19/1,824.29 = 394.55/x
  3. Step 3: Cross multiply
    1,216.19x = 1,824.29 × 394.55
  4. Step 4: Simplify right side
    1,216.19x = 719,770.85
  5. Step 5: Solve for x
    x = 719,770.85/1,216.19
  6. Step 6: Final answer
    x = 591.82

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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.