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Finding the Fourth Proportional to 796.20, 1,098.42 and 574.66

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Solution

The fourth proportional to 796.20, 1,098.42 and 574.66 is: 792.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.20 : 1,098.42 = 574.66 : x
  2. Step 2: Convert to fraction form
    796.20/1,098.42 = 574.66/x
  3. Step 3: Cross multiply
    796.20x = 1,098.42 × 574.66
  4. Step 4: Simplify right side
    796.20x = 631,217.26
  5. Step 5: Solve for x
    x = 631,217.26/796.20
  6. Step 6: Final answer
    x = 792.79

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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.