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Finding the Fourth Proportional to 844.10, 1,165.97 and 647.27

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Solution

The fourth proportional to 844.10, 1,165.97 and 647.27 is: 894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.10 : 1,165.97 = 647.27 : x
  2. Step 2: Convert to fraction form
    844.10/1,165.97 = 647.27/x
  3. Step 3: Cross multiply
    844.10x = 1,165.97 × 647.27
  4. Step 4: Simplify right side
    844.10x = 754,694.17
  5. Step 5: Solve for x
    x = 754,694.17/844.10
  6. Step 6: Final answer
    x = 894.08

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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.