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Finding the Fourth Proportional to 892.32, 1,231.05 and 519.24

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Solution

The fourth proportional to 892.32, 1,231.05 and 519.24 is: 716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.32 : 1,231.05 = 519.24 : x
  2. Step 2: Convert to fraction form
    892.32/1,231.05 = 519.24/x
  3. Step 3: Cross multiply
    892.32x = 1,231.05 × 519.24
  4. Step 4: Simplify right side
    892.32x = 639,214.04
  5. Step 5: Solve for x
    x = 639,214.04/892.32
  6. Step 6: Final answer
    x = 716.35

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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.