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Finding the Fourth Proportional to 733.84, 1,100.76 and 300.68

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Solution

The fourth proportional to 733.84, 1,100.76 and 300.68 is: 451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.84 : 1,100.76 = 300.68 : x
  2. Step 2: Convert to fraction form
    733.84/1,100.76 = 300.68/x
  3. Step 3: Cross multiply
    733.84x = 1,100.76 × 300.68
  4. Step 4: Simplify right side
    733.84x = 330,976.52
  5. Step 5: Solve for x
    x = 330,976.52/733.84
  6. Step 6: Final answer
    x = 451.02

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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.