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Finding the Fourth Proportional to 773.94, 1,166.60 and 708.22

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Solution

The fourth proportional to 773.94, 1,166.60 and 708.22 is: 1,067.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.94 : 1,166.60 = 708.22 : x
  2. Step 2: Convert to fraction form
    773.94/1,166.60 = 708.22/x
  3. Step 3: Cross multiply
    773.94x = 1,166.60 × 708.22
  4. Step 4: Simplify right side
    773.94x = 826,209.45
  5. Step 5: Solve for x
    x = 826,209.45/773.94
  6. Step 6: Final answer
    x = 1,067.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.