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Finding the Fourth Proportional to 734.05, 1,100.80 and 246.97

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Solution

The fourth proportional to 734.05, 1,100.80 and 246.97 is: 370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.05 : 1,100.80 = 246.97 : x
  2. Step 2: Convert to fraction form
    734.05/1,100.80 = 246.97/x
  3. Step 3: Cross multiply
    734.05x = 1,100.80 × 246.97
  4. Step 4: Simplify right side
    734.05x = 271,864.58
  5. Step 5: Solve for x
    x = 271,864.58/734.05
  6. Step 6: Final answer
    x = 370.36

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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.