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Finding the Fourth Proportional to 1,216.04, 1,824.32 and 394.39

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Solution

The fourth proportional to 1,216.04, 1,824.32 and 394.39 is: 591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.04 : 1,824.32 = 394.39 : x
  2. Step 2: Convert to fraction form
    1,216.04/1,824.32 = 394.39/x
  3. Step 3: Cross multiply
    1,216.04x = 1,824.32 × 394.39
  4. Step 4: Simplify right side
    1,216.04x = 719,498.84
  5. Step 5: Solve for x
    x = 719,498.84/1,216.04
  6. Step 6: Final answer
    x = 591.68

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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.