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Finding the Fourth Proportional to 794.92, 1,096.98 and 484.42

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Solution

The fourth proportional to 794.92, 1,096.98 and 484.42 is: 668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,096.98 = 484.42 : x
  2. Step 2: Convert to fraction form
    794.92/1,096.98 = 484.42/x
  3. Step 3: Cross multiply
    794.92x = 1,096.98 × 484.42
  4. Step 4: Simplify right side
    794.92x = 531,403.72
  5. Step 5: Solve for x
    x = 531,403.72/794.92
  6. Step 6: Final answer
    x = 668.50

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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.