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Finding the Fourth Proportional to 892.09, 1,231.03 and 519.06

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Solution

The fourth proportional to 892.09, 1,231.03 and 519.06 is: 716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.09 : 1,231.03 = 519.06 : x
  2. Step 2: Convert to fraction form
    892.09/1,231.03 = 519.06/x
  3. Step 3: Cross multiply
    892.09x = 1,231.03 × 519.06
  4. Step 4: Simplify right side
    892.09x = 638,978.43
  5. Step 5: Solve for x
    x = 638,978.43/892.09
  6. Step 6: Final answer
    x = 716.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.