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Finding the Fourth Proportional to 773.41, 1,161.13 and 461.63

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Solution

The fourth proportional to 773.41, 1,161.13 and 461.63 is: 693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.41 : 1,161.13 = 461.63 : x
  2. Step 2: Convert to fraction form
    773.41/1,161.13 = 461.63/x
  3. Step 3: Cross multiply
    773.41x = 1,161.13 × 461.63
  4. Step 4: Simplify right side
    773.41x = 536,012.44
  5. Step 5: Solve for x
    x = 536,012.44/773.41
  6. Step 6: Final answer
    x = 693.05

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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.