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Finding the Fourth Proportional to 730.50, 1,096.24 and 345.78

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Solution

The fourth proportional to 730.50, 1,096.24 and 345.78 is: 518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.50 : 1,096.24 = 345.78 : x
  2. Step 2: Convert to fraction form
    730.50/1,096.24 = 345.78/x
  3. Step 3: Cross multiply
    730.50x = 1,096.24 × 345.78
  4. Step 4: Simplify right side
    730.50x = 379,057.87
  5. Step 5: Solve for x
    x = 379,057.87/730.50
  6. Step 6: Final answer
    x = 518.90

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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.