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Finding the Fourth Proportional to 892.12, 1,231.41 and 543.10

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Solution

The fourth proportional to 892.12, 1,231.41 and 543.10 is: 749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.12 : 1,231.41 = 543.10 : x
  2. Step 2: Convert to fraction form
    892.12/1,231.41 = 543.10/x
  3. Step 3: Cross multiply
    892.12x = 1,231.41 × 543.10
  4. Step 4: Simplify right side
    892.12x = 668,778.77
  5. Step 5: Solve for x
    x = 668,778.77/892.12
  6. Step 6: Final answer
    x = 749.65

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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.