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Finding the Fourth Proportional to 794.25, 1,096.08 and 440.19

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Solution

The fourth proportional to 794.25, 1,096.08 and 440.19 is: 607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,096.08 = 440.19 : x
  2. Step 2: Convert to fraction form
    794.25/1,096.08 = 440.19/x
  3. Step 3: Cross multiply
    794.25x = 1,096.08 × 440.19
  4. Step 4: Simplify right side
    794.25x = 482,483.46
  5. Step 5: Solve for x
    x = 482,483.46/794.25
  6. Step 6: Final answer
    x = 607.47

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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.