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Finding the Fourth Proportional to 796.84, 1,099.64 and 442.80

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Solution

The fourth proportional to 796.84, 1,099.64 and 442.80 is: 611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.84 : 1,099.64 = 442.80 : x
  2. Step 2: Convert to fraction form
    796.84/1,099.64 = 442.80/x
  3. Step 3: Cross multiply
    796.84x = 1,099.64 × 442.80
  4. Step 4: Simplify right side
    796.84x = 486,921.70
  5. Step 5: Solve for x
    x = 486,921.70/796.84
  6. Step 6: Final answer
    x = 611.07

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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.