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Finding the Fourth Proportional to 733.76, 1,100.64 and 220.76

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Solution

The fourth proportional to 733.76, 1,100.64 and 220.76 is: 331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.76 : 1,100.64 = 220.76 : x
  2. Step 2: Convert to fraction form
    733.76/1,100.64 = 220.76/x
  3. Step 3: Cross multiply
    733.76x = 1,100.64 × 220.76
  4. Step 4: Simplify right side
    733.76x = 242,977.29
  5. Step 5: Solve for x
    x = 242,977.29/733.76
  6. Step 6: Final answer
    x = 331.14

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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.