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Finding the Fourth Proportional to 735.25, 1,102.86 and 562.22

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Solution

The fourth proportional to 735.25, 1,102.86 and 562.22 is: 843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.25 : 1,102.86 = 562.22 : x
  2. Step 2: Convert to fraction form
    735.25/1,102.86 = 562.22/x
  3. Step 3: Cross multiply
    735.25x = 1,102.86 × 562.22
  4. Step 4: Simplify right side
    735.25x = 620,049.95
  5. Step 5: Solve for x
    x = 620,049.95/735.25
  6. Step 6: Final answer
    x = 843.32

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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.