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Finding the Fourth Proportional to 1,231.18, 1,846.97 and 365.58

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Solution

The fourth proportional to 1,231.18, 1,846.97 and 365.58 is: 548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.18 : 1,846.97 = 365.58 : x
  2. Step 2: Convert to fraction form
    1,231.18/1,846.97 = 365.58/x
  3. Step 3: Cross multiply
    1,231.18x = 1,846.97 × 365.58
  4. Step 4: Simplify right side
    1,231.18x = 675,215.29
  5. Step 5: Solve for x
    x = 675,215.29/1,231.18
  6. Step 6: Final answer
    x = 548.43

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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.