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Finding the Fourth Proportional to 1,233.54, 1,850.22 and 502.74

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Solution

The fourth proportional to 1,233.54, 1,850.22 and 502.74 is: 754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.54 : 1,850.22 = 502.74 : x
  2. Step 2: Convert to fraction form
    1,233.54/1,850.22 = 502.74/x
  3. Step 3: Cross multiply
    1,233.54x = 1,850.22 × 502.74
  4. Step 4: Simplify right side
    1,233.54x = 930,179.60
  5. Step 5: Solve for x
    x = 930,179.60/1,233.54
  6. Step 6: Final answer
    x = 754.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.