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Finding the Fourth Proportional to 794.35, 1,096.19 and 445.03

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Solution

The fourth proportional to 794.35, 1,096.19 and 445.03 is: 614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.35 : 1,096.19 = 445.03 : x
  2. Step 2: Convert to fraction form
    794.35/1,096.19 = 445.03/x
  3. Step 3: Cross multiply
    794.35x = 1,096.19 × 445.03
  4. Step 4: Simplify right side
    794.35x = 487,837.44
  5. Step 5: Solve for x
    x = 487,837.44/794.35
  6. Step 6: Final answer
    x = 614.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.