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Finding the Fourth Proportional to 892.04, 1,231.16 and 519.14

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Solution

The fourth proportional to 892.04, 1,231.16 and 519.14 is: 716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.04 : 1,231.16 = 519.14 : x
  2. Step 2: Convert to fraction form
    892.04/1,231.16 = 519.14/x
  3. Step 3: Cross multiply
    892.04x = 1,231.16 × 519.14
  4. Step 4: Simplify right side
    892.04x = 639,144.40
  5. Step 5: Solve for x
    x = 639,144.40/892.04
  6. Step 6: Final answer
    x = 716.50

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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.