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Finding the Fourth Proportional to 789.87, 1,090.11 and 495.23

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Solution

The fourth proportional to 789.87, 1,090.11 and 495.23 is: 683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.87 : 1,090.11 = 495.23 : x
  2. Step 2: Convert to fraction form
    789.87/1,090.11 = 495.23/x
  3. Step 3: Cross multiply
    789.87x = 1,090.11 × 495.23
  4. Step 4: Simplify right side
    789.87x = 539,849.72
  5. Step 5: Solve for x
    x = 539,849.72/789.87
  6. Step 6: Final answer
    x = 683.47

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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.