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Finding the Fourth Proportional to 1,216.14, 1,824.46 and 394.62

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Solution

The fourth proportional to 1,216.14, 1,824.46 and 394.62 is: 592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.14 : 1,824.46 = 394.62 : x
  2. Step 2: Convert to fraction form
    1,216.14/1,824.46 = 394.62/x
  3. Step 3: Cross multiply
    1,216.14x = 1,824.46 × 394.62
  4. Step 4: Simplify right side
    1,216.14x = 719,968.41
  5. Step 5: Solve for x
    x = 719,968.41/1,216.14
  6. Step 6: Final answer
    x = 592.01

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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.