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Finding the Fourth Proportional to 823.97, 1,137.14 and 492.39

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Solution

The fourth proportional to 823.97, 1,137.14 and 492.39 is: 679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.97 : 1,137.14 = 492.39 : x
  2. Step 2: Convert to fraction form
    823.97/1,137.14 = 492.39/x
  3. Step 3: Cross multiply
    823.97x = 1,137.14 × 492.39
  4. Step 4: Simplify right side
    823.97x = 559,916.36
  5. Step 5: Solve for x
    x = 559,916.36/823.97
  6. Step 6: Final answer
    x = 679.53

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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.