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Finding the Fourth Proportional to 1,233.07, 1,849.26 and 367.36

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Solution

The fourth proportional to 1,233.07, 1,849.26 and 367.36 is: 550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.07 : 1,849.26 = 367.36 : x
  2. Step 2: Convert to fraction form
    1,233.07/1,849.26 = 367.36/x
  3. Step 3: Cross multiply
    1,233.07x = 1,849.26 × 367.36
  4. Step 4: Simplify right side
    1,233.07x = 679,334.91
  5. Step 5: Solve for x
    x = 679,334.91/1,233.07
  6. Step 6: Final answer
    x = 550.93

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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.