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Finding the Fourth Proportional to 773.13, 1,066.92 and 462.63

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Solution

The fourth proportional to 773.13, 1,066.92 and 462.63 is: 638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.13 : 1,066.92 = 462.63 : x
  2. Step 2: Convert to fraction form
    773.13/1,066.92 = 462.63/x
  3. Step 3: Cross multiply
    773.13x = 1,066.92 × 462.63
  4. Step 4: Simplify right side
    773.13x = 493,589.20
  5. Step 5: Solve for x
    x = 493,589.20/773.13
  6. Step 6: Final answer
    x = 638.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.