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Finding the Fourth Proportional to 742.69, 1,114.17 and 309.85

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Solution

The fourth proportional to 742.69, 1,114.17 and 309.85 is: 464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.69 : 1,114.17 = 309.85 : x
  2. Step 2: Convert to fraction form
    742.69/1,114.17 = 309.85/x
  3. Step 3: Cross multiply
    742.69x = 1,114.17 × 309.85
  4. Step 4: Simplify right side
    742.69x = 345,225.57
  5. Step 5: Solve for x
    x = 345,225.57/742.69
  6. Step 6: Final answer
    x = 464.83

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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.