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Finding the Fourth Proportional to 844.12, 1,167.06 and 648.28

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Solution

The fourth proportional to 844.12, 1,167.06 and 648.28 is: 896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.12 : 1,167.06 = 648.28 : x
  2. Step 2: Convert to fraction form
    844.12/1,167.06 = 648.28/x
  3. Step 3: Cross multiply
    844.12x = 1,167.06 × 648.28
  4. Step 4: Simplify right side
    844.12x = 756,581.66
  5. Step 5: Solve for x
    x = 756,581.66/844.12
  6. Step 6: Final answer
    x = 896.30

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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.