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Finding the Fourth Proportional to 773.21, 1,160.13 and 408.23

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Solution

The fourth proportional to 773.21, 1,160.13 and 408.23 is: 612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.21 : 1,160.13 = 408.23 : x
  2. Step 2: Convert to fraction form
    773.21/1,160.13 = 408.23/x
  3. Step 3: Cross multiply
    773.21x = 1,160.13 × 408.23
  4. Step 4: Simplify right side
    773.21x = 473,594.07
  5. Step 5: Solve for x
    x = 473,594.07/773.21
  6. Step 6: Final answer
    x = 612.51

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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.