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Finding the Fourth Proportional to 789.64, 1,089.39 and 494.71

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Solution

The fourth proportional to 789.64, 1,089.39 and 494.71 is: 682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.64 : 1,089.39 = 494.71 : x
  2. Step 2: Convert to fraction form
    789.64/1,089.39 = 494.71/x
  3. Step 3: Cross multiply
    789.64x = 1,089.39 × 494.71
  4. Step 4: Simplify right side
    789.64x = 538,932.13
  5. Step 5: Solve for x
    x = 538,932.13/789.64
  6. Step 6: Final answer
    x = 682.50

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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.