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Finding the Fourth Proportional to 824.26, 1,137.76 and 492.80

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Solution

The fourth proportional to 824.26, 1,137.76 and 492.80 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.26 : 1,137.76 = 492.80 : x
  2. Step 2: Convert to fraction form
    824.26/1,137.76 = 492.80/x
  3. Step 3: Cross multiply
    824.26x = 1,137.76 × 492.80
  4. Step 4: Simplify right side
    824.26x = 560,688.13
  5. Step 5: Solve for x
    x = 560,688.13/824.26
  6. Step 6: Final answer
    x = 680.23

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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.