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Finding the Fourth Proportional to 794.23, 1,096.04 and 444.92

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Solution

The fourth proportional to 794.23, 1,096.04 and 444.92 is: 613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.23 : 1,096.04 = 444.92 : x
  2. Step 2: Convert to fraction form
    794.23/1,096.04 = 444.92/x
  3. Step 3: Cross multiply
    794.23x = 1,096.04 × 444.92
  4. Step 4: Simplify right side
    794.23x = 487,649.41
  5. Step 5: Solve for x
    x = 487,649.41/794.23
  6. Step 6: Final answer
    x = 613.99

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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.