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Finding the Fourth Proportional to 824.22, 1,137.54 and 492.78

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Solution

The fourth proportional to 824.22, 1,137.54 and 492.78 is: 680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.22 : 1,137.54 = 492.78 : x
  2. Step 2: Convert to fraction form
    824.22/1,137.54 = 492.78/x
  3. Step 3: Cross multiply
    824.22x = 1,137.54 × 492.78
  4. Step 4: Simplify right side
    824.22x = 560,556.96
  5. Step 5: Solve for x
    x = 560,556.96/824.22
  6. Step 6: Final answer
    x = 680.11

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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.