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Finding the Fourth Proportional to 796.49, 1,099.07 and 442.40

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Solution

The fourth proportional to 796.49, 1,099.07 and 442.40 is: 610.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.49 : 1,099.07 = 442.40 : x
  2. Step 2: Convert to fraction form
    796.49/1,099.07 = 442.40/x
  3. Step 3: Cross multiply
    796.49x = 1,099.07 × 442.40
  4. Step 4: Simplify right side
    796.49x = 486,220.86
  5. Step 5: Solve for x
    x = 486,220.86/796.49
  6. Step 6: Final answer
    x = 610.46

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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.