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Finding the Fourth Proportional to 859.56, 1,184.04 and 796.56

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Solution

The fourth proportional to 859.56, 1,184.04 and 796.56 is: 1,097.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.56 : 1,184.04 = 796.56 : x
  2. Step 2: Convert to fraction form
    859.56/1,184.04 = 796.56/x
  3. Step 3: Cross multiply
    859.56x = 1,184.04 × 796.56
  4. Step 4: Simplify right side
    859.56x = 943,158.90
  5. Step 5: Solve for x
    x = 943,158.90/859.56
  6. Step 6: Final answer
    x = 1,097.26

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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.