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Finding the Fourth Proportional to 789.97, 1,183.54 and 465.16

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Solution

The fourth proportional to 789.97, 1,183.54 and 465.16 is: 696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.97 : 1,183.54 = 465.16 : x
  2. Step 2: Convert to fraction form
    789.97/1,183.54 = 465.16/x
  3. Step 3: Cross multiply
    789.97x = 1,183.54 × 465.16
  4. Step 4: Simplify right side
    789.97x = 550,538.43
  5. Step 5: Solve for x
    x = 550,538.43/789.97
  6. Step 6: Final answer
    x = 696.91

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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.