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Finding the Fourth Proportional to 892.14, 1,231.02 and 499.15

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Solution

The fourth proportional to 892.14, 1,231.02 and 499.15 is: 688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.14 : 1,231.02 = 499.15 : x
  2. Step 2: Convert to fraction form
    892.14/1,231.02 = 499.15/x
  3. Step 3: Cross multiply
    892.14x = 1,231.02 × 499.15
  4. Step 4: Simplify right side
    892.14x = 614,463.63
  5. Step 5: Solve for x
    x = 614,463.63/892.14
  6. Step 6: Final answer
    x = 688.75

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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.