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Finding the Fourth Proportional to 892.80, 1,232.01 and 499.82

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Solution

The fourth proportional to 892.80, 1,232.01 and 499.82 is: 689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.80 : 1,232.01 = 499.82 : x
  2. Step 2: Convert to fraction form
    892.80/1,232.01 = 499.82/x
  3. Step 3: Cross multiply
    892.80x = 1,232.01 × 499.82
  4. Step 4: Simplify right side
    892.80x = 615,777.08
  5. Step 5: Solve for x
    x = 615,777.08/892.80
  6. Step 6: Final answer
    x = 689.71

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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.