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Finding the Fourth Proportional to 734.56, 1,101.81 and 214.56

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Solution

The fourth proportional to 734.56, 1,101.81 and 214.56 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.56 : 1,101.81 = 214.56 : x
  2. Step 2: Convert to fraction form
    734.56/1,101.81 = 214.56/x
  3. Step 3: Cross multiply
    734.56x = 1,101.81 × 214.56
  4. Step 4: Simplify right side
    734.56x = 236,404.35
  5. Step 5: Solve for x
    x = 236,404.35/734.56
  6. Step 6: Final answer
    x = 321.83

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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.