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Finding the Fourth Proportional to 892.31, 1,231.36 and 493.97

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Solution

The fourth proportional to 892.31, 1,231.36 and 493.97 is: 681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.31 : 1,231.36 = 493.97 : x
  2. Step 2: Convert to fraction form
    892.31/1,231.36 = 493.97/x
  3. Step 3: Cross multiply
    892.31x = 1,231.36 × 493.97
  4. Step 4: Simplify right side
    892.31x = 608,247.51
  5. Step 5: Solve for x
    x = 608,247.51/892.31
  6. Step 6: Final answer
    x = 681.66

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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.