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Finding the Fourth Proportional to 735.28, 1,102.12 and 272.92

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Solution

The fourth proportional to 735.28, 1,102.12 and 272.92 is: 409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.28 : 1,102.12 = 272.92 : x
  2. Step 2: Convert to fraction form
    735.28/1,102.12 = 272.92/x
  3. Step 3: Cross multiply
    735.28x = 1,102.12 × 272.92
  4. Step 4: Simplify right side
    735.28x = 300,790.59
  5. Step 5: Solve for x
    x = 300,790.59/735.28
  6. Step 6: Final answer
    x = 409.08

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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.