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Finding the Fourth Proportional to 869, 1,199.22 and 593

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Solution

The fourth proportional to 869, 1,199.22 and 593 is: 818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    869 : 1,199.22 = 593 : x
  2. Step 2: Convert to fraction form
    869/1,199.22 = 593/x
  3. Step 3: Cross multiply
    869x = 1,199.22 × 593
  4. Step 4: Simplify right side
    869x = 711,137.46
  5. Step 5: Solve for x
    x = 711,137.46/869
  6. Step 6: Final answer
    x = 818.34

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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.