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Finding the Fourth Proportional to 793.44, 1,094.93 and 444.12

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Solution

The fourth proportional to 793.44, 1,094.93 and 444.12 is: 612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.44 : 1,094.93 = 444.12 : x
  2. Step 2: Convert to fraction form
    793.44/1,094.93 = 444.12/x
  3. Step 3: Cross multiply
    793.44x = 1,094.93 × 444.12
  4. Step 4: Simplify right side
    793.44x = 486,280.31
  5. Step 5: Solve for x
    x = 486,280.31/793.44
  6. Step 6: Final answer
    x = 612.88

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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.