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Finding the Fourth Proportional to 1,233.30, 1,850.16 and 502.86

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Solution

The fourth proportional to 1,233.30, 1,850.16 and 502.86 is: 754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.30 : 1,850.16 = 502.86 : x
  2. Step 2: Convert to fraction form
    1,233.30/1,850.16 = 502.86/x
  3. Step 3: Cross multiply
    1,233.30x = 1,850.16 × 502.86
  4. Step 4: Simplify right side
    1,233.30x = 930,371.46
  5. Step 5: Solve for x
    x = 930,371.46/1,233.30
  6. Step 6: Final answer
    x = 754.38

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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.