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Finding the Fourth Proportional to 789.22, 1,089.12 and 494.66

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Solution

The fourth proportional to 789.22, 1,089.12 and 494.66 is: 682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.22 : 1,089.12 = 494.66 : x
  2. Step 2: Convert to fraction form
    789.22/1,089.12 = 494.66/x
  3. Step 3: Cross multiply
    789.22x = 1,089.12 × 494.66
  4. Step 4: Simplify right side
    789.22x = 538,744.10
  5. Step 5: Solve for x
    x = 538,744.10/789.22
  6. Step 6: Final answer
    x = 682.63

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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.