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Finding the Fourth Proportional to 773.64, 1,160.22 and 408.24

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Solution

The fourth proportional to 773.64, 1,160.22 and 408.24 is: 612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.64 : 1,160.22 = 408.24 : x
  2. Step 2: Convert to fraction form
    773.64/1,160.22 = 408.24/x
  3. Step 3: Cross multiply
    773.64x = 1,160.22 × 408.24
  4. Step 4: Simplify right side
    773.64x = 473,648.21
  5. Step 5: Solve for x
    x = 473,648.21/773.64
  6. Step 6: Final answer
    x = 612.23

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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.