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Finding the Fourth Proportional to 734.90, 1,102.10 and 344.78

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Solution

The fourth proportional to 734.90, 1,102.10 and 344.78 is: 517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.90 : 1,102.10 = 344.78 : x
  2. Step 2: Convert to fraction form
    734.90/1,102.10 = 344.78/x
  3. Step 3: Cross multiply
    734.90x = 1,102.10 × 344.78
  4. Step 4: Simplify right side
    734.90x = 379,982.04
  5. Step 5: Solve for x
    x = 379,982.04/734.90
  6. Step 6: Final answer
    x = 517.05

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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.