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Finding the Fourth Proportional to 793.24, 1,094.64 and 443.96

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Solution

The fourth proportional to 793.24, 1,094.64 and 443.96 is: 612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.24 : 1,094.64 = 443.96 : x
  2. Step 2: Convert to fraction form
    793.24/1,094.64 = 443.96/x
  3. Step 3: Cross multiply
    793.24x = 1,094.64 × 443.96
  4. Step 4: Simplify right side
    793.24x = 485,976.37
  5. Step 5: Solve for x
    x = 485,976.37/793.24
  6. Step 6: Final answer
    x = 612.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.