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Finding the Fourth Proportional to 796.24, 1,098.12 and 574.84

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Solution

The fourth proportional to 796.24, 1,098.12 and 574.84 is: 792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.24 : 1,098.12 = 574.84 : x
  2. Step 2: Convert to fraction form
    796.24/1,098.12 = 574.84/x
  3. Step 3: Cross multiply
    796.24x = 1,098.12 × 574.84
  4. Step 4: Simplify right side
    796.24x = 631,243.30
  5. Step 5: Solve for x
    x = 631,243.30/796.24
  6. Step 6: Final answer
    x = 792.78

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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.