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Finding the Fourth Proportional to 796.31, 1,098.93 and 442.25

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Solution

The fourth proportional to 796.31, 1,098.93 and 442.25 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.31 : 1,098.93 = 442.25 : x
  2. Step 2: Convert to fraction form
    796.31/1,098.93 = 442.25/x
  3. Step 3: Cross multiply
    796.31x = 1,098.93 × 442.25
  4. Step 4: Simplify right side
    796.31x = 485,994.09
  5. Step 5: Solve for x
    x = 485,994.09/796.31
  6. Step 6: Final answer
    x = 610.31

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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.