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Finding the Fourth Proportional to 796.37, 1,099.00 and 442.29

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Solution

The fourth proportional to 796.37, 1,099.00 and 442.29 is: 610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.37 : 1,099.00 = 442.29 : x
  2. Step 2: Convert to fraction form
    796.37/1,099.00 = 442.29/x
  3. Step 3: Cross multiply
    796.37x = 1,099.00 × 442.29
  4. Step 4: Simplify right side
    796.37x = 486,077.25
  5. Step 5: Solve for x
    x = 486,077.25/796.37
  6. Step 6: Final answer
    x = 610.37

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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.