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Finding the Fourth Proportional to 734.70, 1,101.14 and 344.16

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Solution

The fourth proportional to 734.70, 1,101.14 and 344.16 is: 515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.70 : 1,101.14 = 344.16 : x
  2. Step 2: Convert to fraction form
    734.70/1,101.14 = 344.16/x
  3. Step 3: Cross multiply
    734.70x = 1,101.14 × 344.16
  4. Step 4: Simplify right side
    734.70x = 378,968.34
  5. Step 5: Solve for x
    x = 378,968.34/734.70
  6. Step 6: Final answer
    x = 515.81

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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.