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Finding the Fourth Proportional to 824.09, 1,137.20 and 492.44

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Solution

The fourth proportional to 824.09, 1,137.20 and 492.44 is: 679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.09 : 1,137.20 = 492.44 : x
  2. Step 2: Convert to fraction form
    824.09/1,137.20 = 492.44/x
  3. Step 3: Cross multiply
    824.09x = 1,137.20 × 492.44
  4. Step 4: Simplify right side
    824.09x = 559,994.62
  5. Step 5: Solve for x
    x = 559,994.62/824.09
  6. Step 6: Final answer
    x = 679.54

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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.