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Finding the Fourth Proportional to 892.76, 1,232.14 and 543.38

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Solution

The fourth proportional to 892.76, 1,232.14 and 543.38 is: 749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.76 : 1,232.14 = 543.38 : x
  2. Step 2: Convert to fraction form
    892.76/1,232.14 = 543.38/x
  3. Step 3: Cross multiply
    892.76x = 1,232.14 × 543.38
  4. Step 4: Simplify right side
    892.76x = 669,520.23
  5. Step 5: Solve for x
    x = 669,520.23/892.76
  6. Step 6: Final answer
    x = 749.94

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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.