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Finding the Fourth Proportional to 1,232.89, 1,850.09 and 502.47

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Solution

The fourth proportional to 1,232.89, 1,850.09 and 502.47 is: 754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.89 : 1,850.09 = 502.47 : x
  2. Step 2: Convert to fraction form
    1,232.89/1,850.09 = 502.47/x
  3. Step 3: Cross multiply
    1,232.89x = 1,850.09 × 502.47
  4. Step 4: Simplify right side
    1,232.89x = 929,614.72
  5. Step 5: Solve for x
    x = 929,614.72/1,232.89
  6. Step 6: Final answer
    x = 754.01

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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.