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Finding the Fourth Proportional to 867, 1,194.81 and 604.56

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Solution

The fourth proportional to 867, 1,194.81 and 604.56 is: 833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    867 : 1,194.81 = 604.56 : x
  2. Step 2: Convert to fraction form
    867/1,194.81 = 604.56/x
  3. Step 3: Cross multiply
    867x = 1,194.81 × 604.56
  4. Step 4: Simplify right side
    867x = 722,334.33
  5. Step 5: Solve for x
    x = 722,334.33/867
  6. Step 6: Final answer
    x = 833.14

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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.