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Finding the Fourth Proportional to 735.45, 1,102.93 and 296.59

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Solution

The fourth proportional to 735.45, 1,102.93 and 296.59 is: 444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,102.93 = 296.59 : x
  2. Step 2: Convert to fraction form
    735.45/1,102.93 = 296.59/x
  3. Step 3: Cross multiply
    735.45x = 1,102.93 × 296.59
  4. Step 4: Simplify right side
    735.45x = 327,112.44
  5. Step 5: Solve for x
    x = 327,112.44/735.45
  6. Step 6: Final answer
    x = 444.78

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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.