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Finding the Fourth Proportional to 789.10, 1,183.71 and 604.27

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Solution

The fourth proportional to 789.10, 1,183.71 and 604.27 is: 906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.10 : 1,183.71 = 604.27 : x
  2. Step 2: Convert to fraction form
    789.10/1,183.71 = 604.27/x
  3. Step 3: Cross multiply
    789.10x = 1,183.71 × 604.27
  4. Step 4: Simplify right side
    789.10x = 715,277.48
  5. Step 5: Solve for x
    x = 715,277.48/789.10
  6. Step 6: Final answer
    x = 906.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.