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Finding the Fourth Proportional to 1,215.96, 1,824.15 and 394.22

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Solution

The fourth proportional to 1,215.96, 1,824.15 and 394.22 is: 591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.96 : 1,824.15 = 394.22 : x
  2. Step 2: Convert to fraction form
    1,215.96/1,824.15 = 394.22/x
  3. Step 3: Cross multiply
    1,215.96x = 1,824.15 × 394.22
  4. Step 4: Simplify right side
    1,215.96x = 719,107.29
  5. Step 5: Solve for x
    x = 719,107.29/1,215.96
  6. Step 6: Final answer
    x = 591.39

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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.