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Finding the Fourth Proportional to 794.33, 1,096.18 and 440.30

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Solution

The fourth proportional to 794.33, 1,096.18 and 440.30 is: 607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.33 : 1,096.18 = 440.30 : x
  2. Step 2: Convert to fraction form
    794.33/1,096.18 = 440.30/x
  3. Step 3: Cross multiply
    794.33x = 1,096.18 × 440.30
  4. Step 4: Simplify right side
    794.33x = 482,651.70
  5. Step 5: Solve for x
    x = 482,651.70/794.33
  6. Step 6: Final answer
    x = 607.62

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