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Finding the Fourth Proportional to 1,233.23, 1,849.41 and 539.69

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Solution

The fourth proportional to 1,233.23, 1,849.41 and 539.69 is: 809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.23 : 1,849.41 = 539.69 : x
  2. Step 2: Convert to fraction form
    1,233.23/1,849.41 = 539.69/x
  3. Step 3: Cross multiply
    1,233.23x = 1,849.41 × 539.69
  4. Step 4: Simplify right side
    1,233.23x = 998,098.84
  5. Step 5: Solve for x
    x = 998,098.84/1,233.23
  6. Step 6: Final answer
    x = 809.34

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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.