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Finding the Fourth Proportional to 796.11, 1,097.46 and 599.28

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Solution

The fourth proportional to 796.11, 1,097.46 and 599.28 is: 826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.11 : 1,097.46 = 599.28 : x
  2. Step 2: Convert to fraction form
    796.11/1,097.46 = 599.28/x
  3. Step 3: Cross multiply
    796.11x = 1,097.46 × 599.28
  4. Step 4: Simplify right side
    796.11x = 657,685.83
  5. Step 5: Solve for x
    x = 657,685.83/796.11
  6. Step 6: Final answer
    x = 826.12

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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.