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Finding the Fourth Proportional to 796.97, 1,099.50 and 498.05

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Solution

The fourth proportional to 796.97, 1,099.50 and 498.05 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.97 : 1,099.50 = 498.05 : x
  2. Step 2: Convert to fraction form
    796.97/1,099.50 = 498.05/x
  3. Step 3: Cross multiply
    796.97x = 1,099.50 × 498.05
  4. Step 4: Simplify right side
    796.97x = 547,605.98
  5. Step 5: Solve for x
    x = 547,605.98/796.97
  6. Step 6: Final answer
    x = 687.11

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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.