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Finding the Fourth Proportional to 735.24, 1,102.86 and 296.69

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Solution

The fourth proportional to 735.24, 1,102.86 and 296.69 is: 445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.24 : 1,102.86 = 296.69 : x
  2. Step 2: Convert to fraction form
    735.24/1,102.86 = 296.69/x
  3. Step 3: Cross multiply
    735.24x = 1,102.86 × 296.69
  4. Step 4: Simplify right side
    735.24x = 327,207.53
  5. Step 5: Solve for x
    x = 327,207.53/735.24
  6. Step 6: Final answer
    x = 445.04

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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.