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Finding the Fourth Proportional to 892.46, 1,231.57 and 499.50

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Solution

The fourth proportional to 892.46, 1,231.57 and 499.50 is: 689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.46 : 1,231.57 = 499.50 : x
  2. Step 2: Convert to fraction form
    892.46/1,231.57 = 499.50/x
  3. Step 3: Cross multiply
    892.46x = 1,231.57 × 499.50
  4. Step 4: Simplify right side
    892.46x = 615,169.22
  5. Step 5: Solve for x
    x = 615,169.22/892.46
  6. Step 6: Final answer
    x = 689.30

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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.