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Finding the Fourth Proportional to 794.30, 1,096.18 and 440.23

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Solution

The fourth proportional to 794.30, 1,096.18 and 440.23 is: 607.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.30 : 1,096.18 = 440.23 : x
  2. Step 2: Convert to fraction form
    794.30/1,096.18 = 440.23/x
  3. Step 3: Cross multiply
    794.30x = 1,096.18 × 440.23
  4. Step 4: Simplify right side
    794.30x = 482,567.48
  5. Step 5: Solve for x
    x = 482,567.48/794.30
  6. Step 6: Final answer
    x = 607.54

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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.