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Finding the Fourth Proportional to 793.63, 1,190.64 and 245.80

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Solution

The fourth proportional to 793.63, 1,190.64 and 245.80 is: 368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.63 : 1,190.64 = 245.80 : x
  2. Step 2: Convert to fraction form
    793.63/1,190.64 = 245.80/x
  3. Step 3: Cross multiply
    793.63x = 1,190.64 × 245.80
  4. Step 4: Simplify right side
    793.63x = 292,659.31
  5. Step 5: Solve for x
    x = 292,659.31/793.63
  6. Step 6: Final answer
    x = 368.76

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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.