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Finding the Fourth Proportional to 773.64, 1,161.06 and 408.54

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Solution

The fourth proportional to 773.64, 1,161.06 and 408.54 is: 613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.64 : 1,161.06 = 408.54 : x
  2. Step 2: Convert to fraction form
    773.64/1,161.06 = 408.54/x
  3. Step 3: Cross multiply
    773.64x = 1,161.06 × 408.54
  4. Step 4: Simplify right side
    773.64x = 474,339.45
  5. Step 5: Solve for x
    x = 474,339.45/773.64
  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.