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Finding the Fourth Proportional to 892.84, 1,232.17 and 499.86

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Solution

The fourth proportional to 892.84, 1,232.17 and 499.86 is: 689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.84 : 1,232.17 = 499.86 : x
  2. Step 2: Convert to fraction form
    892.84/1,232.17 = 499.86/x
  3. Step 3: Cross multiply
    892.84x = 1,232.17 × 499.86
  4. Step 4: Simplify right side
    892.84x = 615,912.50
  5. Step 5: Solve for x
    x = 615,912.50/892.84
  6. Step 6: Final answer
    x = 689.84

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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.