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Finding the Fourth Proportional to 793, 1,094.34 and 443.74

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Solution

The fourth proportional to 793, 1,094.34 and 443.74 is: 612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    793 : 1,094.34 = 443.74 : x
  2. Step 2: Convert to fraction form
    793/1,094.34 = 443.74/x
  3. Step 3: Cross multiply
    793x = 1,094.34 × 443.74
  4. Step 4: Simplify right side
    793x = 485,602.43
  5. Step 5: Solve for x
    x = 485,602.43/793
  6. Step 6: Final answer
    x = 612.36

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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.