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Finding the Fourth Proportional to 734.33, 1,102.14 and 344.54

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Solution

The fourth proportional to 734.33, 1,102.14 and 344.54 is: 517.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.33 : 1,102.14 = 344.54 : x
  2. Step 2: Convert to fraction form
    734.33/1,102.14 = 344.54/x
  3. Step 3: Cross multiply
    734.33x = 1,102.14 × 344.54
  4. Step 4: Simplify right side
    734.33x = 379,725.80
  5. Step 5: Solve for x
    x = 379,725.80/734.33
  6. Step 6: Final answer
    x = 517.11

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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.