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Finding the Fourth Proportional to 1,163.14, 1,603.83 and 847.85

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Solution

The fourth proportional to 1,163.14, 1,603.83 and 847.85 is: 1,169.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.14 : 1,603.83 = 847.85 : x
  2. Step 2: Convert to fraction form
    1,163.14/1,603.83 = 847.85/x
  3. Step 3: Cross multiply
    1,163.14x = 1,603.83 × 847.85
  4. Step 4: Simplify right side
    1,163.14x = 1,359,804.29
  5. Step 5: Solve for x
    x = 1,359,804.29/1,163.14
  6. Step 6: Final answer
    x = 1,169.08

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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.