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Finding the Fourth Proportional to 1,163.13, 1,603.89 and 831.44

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Solution

The fourth proportional to 1,163.13, 1,603.89 and 831.44 is: 1,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.13 : 1,603.89 = 831.44 : x
  2. Step 2: Convert to fraction form
    1,163.13/1,603.89 = 831.44/x
  3. Step 3: Cross multiply
    1,163.13x = 1,603.89 × 831.44
  4. Step 4: Simplify right side
    1,163.13x = 1,333,530.28
  5. Step 5: Solve for x
    x = 1,333,530.28/1,163.13
  6. Step 6: Final answer
    x = 1,146.50

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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.