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Finding the Fourth Proportional to 1,171.05, 1,616.31 and 745.59

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Solution

The fourth proportional to 1,171.05, 1,616.31 and 745.59 is: 1,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.05 : 1,616.31 = 745.59 : x
  2. Step 2: Convert to fraction form
    1,171.05/1,616.31 = 745.59/x
  3. Step 3: Cross multiply
    1,171.05x = 1,616.31 × 745.59
  4. Step 4: Simplify right side
    1,171.05x = 1,205,104.57
  5. Step 5: Solve for x
    x = 1,205,104.57/1,171.05
  6. Step 6: Final answer
    x = 1,029.08

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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.