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Finding the Fourth Proportional to 735.75, 1,103.31 and 302.67

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Solution

The fourth proportional to 735.75, 1,103.31 and 302.67 is: 453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 1,103.31 = 302.67 : x
  2. Step 2: Convert to fraction form
    735.75/1,103.31 = 302.67/x
  3. Step 3: Cross multiply
    735.75x = 1,103.31 × 302.67
  4. Step 4: Simplify right side
    735.75x = 333,938.84
  5. Step 5: Solve for x
    x = 333,938.84/735.75
  6. Step 6: Final answer
    x = 453.88

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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.