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Finding the Fourth Proportional to 892.37, 1,231.27 and 538.20

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Solution

The fourth proportional to 892.37, 1,231.27 and 538.20 is: 742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.37 : 1,231.27 = 538.20 : x
  2. Step 2: Convert to fraction form
    892.37/1,231.27 = 538.20/x
  3. Step 3: Cross multiply
    892.37x = 1,231.27 × 538.20
  4. Step 4: Simplify right side
    892.37x = 662,666.82
  5. Step 5: Solve for x
    x = 662,666.82/892.37
  6. Step 6: Final answer
    x = 742.59

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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.