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Finding the Fourth Proportional to 874.66, 1,204.04 and 796.30

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Solution

The fourth proportional to 874.66, 1,204.04 and 796.30 is: 1,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.66 : 1,204.04 = 796.30 : x
  2. Step 2: Convert to fraction form
    874.66/1,204.04 = 796.30/x
  3. Step 3: Cross multiply
    874.66x = 1,204.04 × 796.30
  4. Step 4: Simplify right side
    874.66x = 958,767.05
  5. Step 5: Solve for x
    x = 958,767.05/874.66
  6. Step 6: Final answer
    x = 1,096.17

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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.