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Finding the Fourth Proportional to 1,233.11, 1,849.67 and 502.76

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Solution

The fourth proportional to 1,233.11, 1,849.67 and 502.76 is: 754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.11 : 1,849.67 = 502.76 : x
  2. Step 2: Convert to fraction form
    1,233.11/1,849.67 = 502.76/x
  3. Step 3: Cross multiply
    1,233.11x = 1,849.67 × 502.76
  4. Step 4: Simplify right side
    1,233.11x = 929,928.33
  5. Step 5: Solve for x
    x = 929,928.33/1,233.11
  6. Step 6: Final answer
    x = 754.14

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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.