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Finding the Fourth Proportional to 793.64, 1,190.37 and 245.76

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Solution

The fourth proportional to 793.64, 1,190.37 and 245.76 is: 368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.64 : 1,190.37 = 245.76 : x
  2. Step 2: Convert to fraction form
    793.64/1,190.37 = 245.76/x
  3. Step 3: Cross multiply
    793.64x = 1,190.37 × 245.76
  4. Step 4: Simplify right side
    793.64x = 292,545.33
  5. Step 5: Solve for x
    x = 292,545.33/793.64
  6. Step 6: Final answer
    x = 368.61

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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.