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Finding the Fourth Proportional to 793.89, 1,196.21 and 659.93

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Solution

The fourth proportional to 793.89, 1,196.21 and 659.93 is: 994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.89 : 1,196.21 = 659.93 : x
  2. Step 2: Convert to fraction form
    793.89/1,196.21 = 659.93/x
  3. Step 3: Cross multiply
    793.89x = 1,196.21 × 659.93
  4. Step 4: Simplify right side
    793.89x = 789,405.58
  5. Step 5: Solve for x
    x = 789,405.58/793.89
  6. Step 6: Final answer
    x = 994.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.