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Finding the Fourth Proportional to 722.92, 1,082.94 and 506.92

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Solution

The fourth proportional to 722.92, 1,082.94 and 506.92 is: 759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.92 : 1,082.94 = 506.92 : x
  2. Step 2: Convert to fraction form
    722.92/1,082.94 = 506.92/x
  3. Step 3: Cross multiply
    722.92x = 1,082.94 × 506.92
  4. Step 4: Simplify right side
    722.92x = 548,963.94
  5. Step 5: Solve for x
    x = 548,963.94/722.92
  6. Step 6: Final answer
    x = 759.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.