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Finding the Fourth Proportional to 1,231.04, 1,846.56 and 365.48

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Solution

The fourth proportional to 1,231.04, 1,846.56 and 365.48 is: 548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.04 : 1,846.56 = 365.48 : x
  2. Step 2: Convert to fraction form
    1,231.04/1,846.56 = 365.48/x
  3. Step 3: Cross multiply
    1,231.04x = 1,846.56 × 365.48
  4. Step 4: Simplify right side
    1,231.04x = 674,880.75
  5. Step 5: Solve for x
    x = 674,880.75/1,231.04
  6. Step 6: Final answer
    x = 548.22

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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.