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Finding the Fourth Proportional to 892.78, 1,232 and 499.74

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Solution

The fourth proportional to 892.78, 1,232 and 499.74 is: 689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.78 : 1,232 = 499.74 : x
  2. Step 2: Convert to fraction form
    892.78/1,232 = 499.74/x
  3. Step 3: Cross multiply
    892.78x = 1,232 × 499.74
  4. Step 4: Simplify right side
    892.78x = 615,679.68
  5. Step 5: Solve for x
    x = 615,679.68/892.78
  6. Step 6: Final answer
    x = 689.62

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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.