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Finding the Fourth Proportional to 1,233.25, 1,849.94 and 367.57

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Solution

The fourth proportional to 1,233.25, 1,849.94 and 367.57 is: 551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.25 : 1,849.94 = 367.57 : x
  2. Step 2: Convert to fraction form
    1,233.25/1,849.94 = 367.57/x
  3. Step 3: Cross multiply
    1,233.25x = 1,849.94 × 367.57
  4. Step 4: Simplify right side
    1,233.25x = 679,982.45
  5. Step 5: Solve for x
    x = 679,982.45/1,233.25
  6. Step 6: Final answer
    x = 551.37

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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.