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Finding the Fourth Proportional to 823.87, 1,137.09 and 492.49

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Solution

The fourth proportional to 823.87, 1,137.09 and 492.49 is: 679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.87 : 1,137.09 = 492.49 : x
  2. Step 2: Convert to fraction form
    823.87/1,137.09 = 492.49/x
  3. Step 3: Cross multiply
    823.87x = 1,137.09 × 492.49
  4. Step 4: Simplify right side
    823.87x = 560,005.45
  5. Step 5: Solve for x
    x = 560,005.45/823.87
  6. Step 6: Final answer
    x = 679.73

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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.