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Finding the Fourth Proportional to 794.77, 1,096.31 and 574.21

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Solution

The fourth proportional to 794.77, 1,096.31 and 574.21 is: 792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.77 : 1,096.31 = 574.21 : x
  2. Step 2: Convert to fraction form
    794.77/1,096.31 = 574.21/x
  3. Step 3: Cross multiply
    794.77x = 1,096.31 × 574.21
  4. Step 4: Simplify right side
    794.77x = 629,509.29
  5. Step 5: Solve for x
    x = 629,509.29/794.77
  6. Step 6: Final answer
    x = 792.06

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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.