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Finding the Fourth Proportional to 735.45, 1,102.82 and 427.39

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Solution

The fourth proportional to 735.45, 1,102.82 and 427.39 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,102.82 = 427.39 : x
  2. Step 2: Convert to fraction form
    735.45/1,102.82 = 427.39/x
  3. Step 3: Cross multiply
    735.45x = 1,102.82 × 427.39
  4. Step 4: Simplify right side
    735.45x = 471,335.08
  5. Step 5: Solve for x
    x = 471,335.08/735.45
  6. Step 6: Final answer
    x = 640.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.