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Finding the Fourth Proportional to 796.10, 1,099.01 and 501.82

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Solution

The fourth proportional to 796.10, 1,099.01 and 501.82 is: 692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.10 : 1,099.01 = 501.82 : x
  2. Step 2: Convert to fraction form
    796.10/1,099.01 = 501.82/x
  3. Step 3: Cross multiply
    796.10x = 1,099.01 × 501.82
  4. Step 4: Simplify right side
    796.10x = 551,505.20
  5. Step 5: Solve for x
    x = 551,505.20/796.10
  6. Step 6: Final answer
    x = 692.76

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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.