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Finding the Fourth Proportional to 773.99, 1,161.16 and 408.70

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Solution

The fourth proportional to 773.99, 1,161.16 and 408.70 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.99 : 1,161.16 = 408.70 : x
  2. Step 2: Convert to fraction form
    773.99/1,161.16 = 408.70/x
  3. Step 3: Cross multiply
    773.99x = 1,161.16 × 408.70
  4. Step 4: Simplify right side
    773.99x = 474,561.14
  5. Step 5: Solve for x
    x = 474,561.14/773.99
  6. Step 6: Final answer
    x = 613.13

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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.