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Finding the Fourth Proportional to 794.59, 1,096.48 and 440.56

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Solution

The fourth proportional to 794.59, 1,096.48 and 440.56 is: 607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.59 : 1,096.48 = 440.56 : x
  2. Step 2: Convert to fraction form
    794.59/1,096.48 = 440.56/x
  3. Step 3: Cross multiply
    794.59x = 1,096.48 × 440.56
  4. Step 4: Simplify right side
    794.59x = 483,061.39
  5. Step 5: Solve for x
    x = 483,061.39/794.59
  6. Step 6: Final answer
    x = 607.94

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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.