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Finding the Fourth Proportional to 824.19, 1,137.24 and 492.75

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Solution

The fourth proportional to 824.19, 1,137.24 and 492.75 is: 679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.19 : 1,137.24 = 492.75 : x
  2. Step 2: Convert to fraction form
    824.19/1,137.24 = 492.75/x
  3. Step 3: Cross multiply
    824.19x = 1,137.24 × 492.75
  4. Step 4: Simplify right side
    824.19x = 560,375.01
  5. Step 5: Solve for x
    x = 560,375.01/824.19
  6. Step 6: Final answer
    x = 679.91

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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.