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Finding the Fourth Proportional to 892.71, 1,231.91 and 494.39

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Solution

The fourth proportional to 892.71, 1,231.91 and 494.39 is: 682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.71 : 1,231.91 = 494.39 : x
  2. Step 2: Convert to fraction form
    892.71/1,231.91 = 494.39/x
  3. Step 3: Cross multiply
    892.71x = 1,231.91 × 494.39
  4. Step 4: Simplify right side
    892.71x = 609,048.30
  5. Step 5: Solve for x
    x = 609,048.30/892.71
  6. Step 6: Final answer
    x = 682.25

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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.