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Finding the Fourth Proportional to 793.94, 1,189.13 and 588.02

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Solution

The fourth proportional to 793.94, 1,189.13 and 588.02 is: 880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.94 : 1,189.13 = 588.02 : x
  2. Step 2: Convert to fraction form
    793.94/1,189.13 = 588.02/x
  3. Step 3: Cross multiply
    793.94x = 1,189.13 × 588.02
  4. Step 4: Simplify right side
    793.94x = 699,223.34
  5. Step 5: Solve for x
    x = 699,223.34/793.94
  6. Step 6: Final answer
    x = 880.71

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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.