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Finding the Fourth Proportional to 892.54, 1,231.77 and 499.69

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Solution

The fourth proportional to 892.54, 1,231.77 and 499.69 is: 689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.54 : 1,231.77 = 499.69 : x
  2. Step 2: Convert to fraction form
    892.54/1,231.77 = 499.69/x
  3. Step 3: Cross multiply
    892.54x = 1,231.77 × 499.69
  4. Step 4: Simplify right side
    892.54x = 615,503.15
  5. Step 5: Solve for x
    x = 615,503.15/892.54
  6. Step 6: Final answer
    x = 689.61

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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.