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Finding the Fourth Proportional to 796.34, 1,098.90 and 442.27

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Solution

The fourth proportional to 796.34, 1,098.90 and 442.27 is: 610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.34 : 1,098.90 = 442.27 : x
  2. Step 2: Convert to fraction form
    796.34/1,098.90 = 442.27/x
  3. Step 3: Cross multiply
    796.34x = 1,098.90 × 442.27
  4. Step 4: Simplify right side
    796.34x = 486,002.80
  5. Step 5: Solve for x
    x = 486,002.80/796.34
  6. Step 6: Final answer
    x = 610.30

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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.