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Finding the Fourth Proportional to 733.30, 1,097.61 and 514.21

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Solution

The fourth proportional to 733.30, 1,097.61 and 514.21 is: 769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.30 : 1,097.61 = 514.21 : x
  2. Step 2: Convert to fraction form
    733.30/1,097.61 = 514.21/x
  3. Step 3: Cross multiply
    733.30x = 1,097.61 × 514.21
  4. Step 4: Simplify right side
    733.30x = 564,402.04
  5. Step 5: Solve for x
    x = 564,402.04/733.30
  6. Step 6: Final answer
    x = 769.67

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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.