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Finding the Fourth Proportional to 789.05, 1,088.97 and 474.41

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Solution

The fourth proportional to 789.05, 1,088.97 and 474.41 is: 654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.05 : 1,088.97 = 474.41 : x
  2. Step 2: Convert to fraction form
    789.05/1,088.97 = 474.41/x
  3. Step 3: Cross multiply
    789.05x = 1,088.97 × 474.41
  4. Step 4: Simplify right side
    789.05x = 516,618.26
  5. Step 5: Solve for x
    x = 516,618.26/789.05
  6. Step 6: Final answer
    x = 654.73

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