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Finding the Fourth Proportional to 793.36, 1,189.04 and 427.40

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Solution

The fourth proportional to 793.36, 1,189.04 and 427.40 is: 640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.36 : 1,189.04 = 427.40 : x
  2. Step 2: Convert to fraction form
    793.36/1,189.04 = 427.40/x
  3. Step 3: Cross multiply
    793.36x = 1,189.04 × 427.40
  4. Step 4: Simplify right side
    793.36x = 508,195.70
  5. Step 5: Solve for x
    x = 508,195.70/793.36
  6. Step 6: Final answer
    x = 640.56

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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.