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Finding the Fourth Proportional to 793.66, 1,189.50 and 611.74

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Solution

The fourth proportional to 793.66, 1,189.50 and 611.74 is: 916.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.66 : 1,189.50 = 611.74 : x
  2. Step 2: Convert to fraction form
    793.66/1,189.50 = 611.74/x
  3. Step 3: Cross multiply
    793.66x = 1,189.50 × 611.74
  4. Step 4: Simplify right side
    793.66x = 727,664.73
  5. Step 5: Solve for x
    x = 727,664.73/793.66
  6. Step 6: Final answer
    x = 916.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.