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Finding the Fourth Proportional to 1,233.26, 1,850.21 and 502.45

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Solution

The fourth proportional to 1,233.26, 1,850.21 and 502.45 is: 753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.26 : 1,850.21 = 502.45 : x
  2. Step 2: Convert to fraction form
    1,233.26/1,850.21 = 502.45/x
  3. Step 3: Cross multiply
    1,233.26x = 1,850.21 × 502.45
  4. Step 4: Simplify right side
    1,233.26x = 929,638.01
  5. Step 5: Solve for x
    x = 929,638.01/1,233.26
  6. Step 6: Final answer
    x = 753.81

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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.