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Finding the Fourth Proportional to 734.00, 1,100.81 and 213.86

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Solution

The fourth proportional to 734.00, 1,100.81 and 213.86 is: 320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.00 : 1,100.81 = 213.86 : x
  2. Step 2: Convert to fraction form
    734.00/1,100.81 = 213.86/x
  3. Step 3: Cross multiply
    734.00x = 1,100.81 × 213.86
  4. Step 4: Simplify right side
    734.00x = 235,422.51
  5. Step 5: Solve for x
    x = 235,422.51/734.00
  6. Step 6: Final answer
    x = 320.74

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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.