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Finding the Fourth Proportional to 824.20, 1,137.76 and 492.57

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Solution

The fourth proportional to 824.20, 1,137.76 and 492.57 is: 679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.20 : 1,137.76 = 492.57 : x
  2. Step 2: Convert to fraction form
    824.20/1,137.76 = 492.57/x
  3. Step 3: Cross multiply
    824.20x = 1,137.76 × 492.57
  4. Step 4: Simplify right side
    824.20x = 560,425.21
  5. Step 5: Solve for x
    x = 560,425.21/824.20
  6. Step 6: Final answer
    x = 679.96

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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.