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Finding the Fourth Proportional to 735.17, 1,102.06 and 272.60

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Solution

The fourth proportional to 735.17, 1,102.06 and 272.60 is: 408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.17 : 1,102.06 = 272.60 : x
  2. Step 2: Convert to fraction form
    735.17/1,102.06 = 272.60/x
  3. Step 3: Cross multiply
    735.17x = 1,102.06 × 272.60
  4. Step 4: Simplify right side
    735.17x = 300,421.56
  5. Step 5: Solve for x
    x = 300,421.56/735.17
  6. Step 6: Final answer
    x = 408.64

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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.