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Finding the Fourth Proportional to 892.84, 1,232.14 and 499.90

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Solution

The fourth proportional to 892.84, 1,232.14 and 499.90 is: 689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.84 : 1,232.14 = 499.90 : x
  2. Step 2: Convert to fraction form
    892.84/1,232.14 = 499.90/x
  3. Step 3: Cross multiply
    892.84x = 1,232.14 × 499.90
  4. Step 4: Simplify right side
    892.84x = 615,946.79
  5. Step 5: Solve for x
    x = 615,946.79/892.84
  6. Step 6: Final answer
    x = 689.87

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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.