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Finding the Fourth Proportional to 748.24, 1,122.94 and 518.74

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Solution

The fourth proportional to 748.24, 1,122.94 and 518.74 is: 778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.24 : 1,122.94 = 518.74 : x
  2. Step 2: Convert to fraction form
    748.24/1,122.94 = 518.74/x
  3. Step 3: Cross multiply
    748.24x = 1,122.94 × 518.74
  4. Step 4: Simplify right side
    748.24x = 582,513.90
  5. Step 5: Solve for x
    x = 582,513.90/748.24
  6. Step 6: Final answer
    x = 778.51

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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.