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Finding the Fourth Proportional to 869, 1,195.38 and 833.48

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Solution

The fourth proportional to 869, 1,195.38 and 833.48 is: 1,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    869 : 1,195.38 = 833.48 : x
  2. Step 2: Convert to fraction form
    869/1,195.38 = 833.48/x
  3. Step 3: Cross multiply
    869x = 1,195.38 × 833.48
  4. Step 4: Simplify right side
    869x = 996,325.32
  5. Step 5: Solve for x
    x = 996,325.32/869
  6. Step 6: Final answer
    x = 1,146.52

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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.