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Finding the Fourth Proportional to 1,167.80, 1,610.51 and 774.14

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Solution

The fourth proportional to 1,167.80, 1,610.51 and 774.14 is: 1,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.80 : 1,610.51 = 774.14 : x
  2. Step 2: Convert to fraction form
    1,167.80/1,610.51 = 774.14/x
  3. Step 3: Cross multiply
    1,167.80x = 1,610.51 × 774.14
  4. Step 4: Simplify right side
    1,167.80x = 1,246,759.52
  5. Step 5: Solve for x
    x = 1,246,759.52/1,167.80
  6. Step 6: Final answer
    x = 1,067.61

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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.