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Finding the Fourth Proportional to 844.56, 1,164.81 and 608.55

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Solution

The fourth proportional to 844.56, 1,164.81 and 608.55 is: 839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.56 : 1,164.81 = 608.55 : x
  2. Step 2: Convert to fraction form
    844.56/1,164.81 = 608.55/x
  3. Step 3: Cross multiply
    844.56x = 1,164.81 × 608.55
  4. Step 4: Simplify right side
    844.56x = 708,843.04
  5. Step 5: Solve for x
    x = 708,843.04/844.56
  6. Step 6: Final answer
    x = 839.30

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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.