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Finding the Fourth Proportional to 892.10, 1,231.02 and 538.16

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Solution

The fourth proportional to 892.10, 1,231.02 and 538.16 is: 742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.10 : 1,231.02 = 538.16 : x
  2. Step 2: Convert to fraction form
    892.10/1,231.02 = 538.16/x
  3. Step 3: Cross multiply
    892.10x = 1,231.02 × 538.16
  4. Step 4: Simplify right side
    892.10x = 662,485.72
  5. Step 5: Solve for x
    x = 662,485.72/892.10
  6. Step 6: Final answer
    x = 742.61

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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.