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Finding the Fourth Proportional to 1,166.78, 1,610.61 and 773.66

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Solution

The fourth proportional to 1,166.78, 1,610.61 and 773.66 is: 1,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.78 : 1,610.61 = 773.66 : x
  2. Step 2: Convert to fraction form
    1,166.78/1,610.61 = 773.66/x
  3. Step 3: Cross multiply
    1,166.78x = 1,610.61 × 773.66
  4. Step 4: Simplify right side
    1,166.78x = 1,246,064.53
  5. Step 5: Solve for x
    x = 1,246,064.53/1,166.78
  6. Step 6: Final answer
    x = 1,067.95

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Why These Related Problems?

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