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Finding the Fourth Proportional to 1,233.03, 1,849.32 and 367.14

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Solution

The fourth proportional to 1,233.03, 1,849.32 and 367.14 is: 550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.03 : 1,849.32 = 367.14 : x
  2. Step 2: Convert to fraction form
    1,233.03/1,849.32 = 367.14/x
  3. Step 3: Cross multiply
    1,233.03x = 1,849.32 × 367.14
  4. Step 4: Simplify right side
    1,233.03x = 678,959.34
  5. Step 5: Solve for x
    x = 678,959.34/1,233.03
  6. Step 6: Final answer
    x = 550.64

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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.