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Finding the Fourth Proportional to 1,163.71, 1,603.11 and 995.14

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Solution

The fourth proportional to 1,163.71, 1,603.11 and 995.14 is: 1,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.71 : 1,603.11 = 995.14 : x
  2. Step 2: Convert to fraction form
    1,163.71/1,603.11 = 995.14/x
  3. Step 3: Cross multiply
    1,163.71x = 1,603.11 × 995.14
  4. Step 4: Simplify right side
    1,163.71x = 1,595,318.89
  5. Step 5: Solve for x
    x = 1,595,318.89/1,163.71
  6. Step 6: Final answer
    x = 1,370.89

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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.