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Finding the Fourth Proportional to 1,163.98, 1,745.42 and 677.16

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Solution

The fourth proportional to 1,163.98, 1,745.42 and 677.16 is: 1,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.98 : 1,745.42 = 677.16 : x
  2. Step 2: Convert to fraction form
    1,163.98/1,745.42 = 677.16/x
  3. Step 3: Cross multiply
    1,163.98x = 1,745.42 × 677.16
  4. Step 4: Simplify right side
    1,163.98x = 1,181,928.61
  5. Step 5: Solve for x
    x = 1,181,928.61/1,163.98
  6. Step 6: Final answer
    x = 1,015.42

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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.