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Finding the Fourth Proportional to 794.82, 1,096.91 and 440.76

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Solution

The fourth proportional to 794.82, 1,096.91 and 440.76 is: 608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.82 : 1,096.91 = 440.76 : x
  2. Step 2: Convert to fraction form
    794.82/1,096.91 = 440.76/x
  3. Step 3: Cross multiply
    794.82x = 1,096.91 × 440.76
  4. Step 4: Simplify right side
    794.82x = 483,474.05
  5. Step 5: Solve for x
    x = 483,474.05/794.82
  6. Step 6: Final answer
    x = 608.28

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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.