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Finding the Fourth Proportional to 796.03, 1,098.51 and 441.95

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Solution

The fourth proportional to 796.03, 1,098.51 and 441.95 is: 609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.03 : 1,098.51 = 441.95 : x
  2. Step 2: Convert to fraction form
    796.03/1,098.51 = 441.95/x
  3. Step 3: Cross multiply
    796.03x = 1,098.51 × 441.95
  4. Step 4: Simplify right side
    796.03x = 485,489.24
  5. Step 5: Solve for x
    x = 485,489.24/796.03
  6. Step 6: Final answer
    x = 609.89

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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.