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Finding the Fourth Proportional to 844.36, 1,165.52 and 578.95

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Solution

The fourth proportional to 844.36, 1,165.52 and 578.95 is: 799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.36 : 1,165.52 = 578.95 : x
  2. Step 2: Convert to fraction form
    844.36/1,165.52 = 578.95/x
  3. Step 3: Cross multiply
    844.36x = 1,165.52 × 578.95
  4. Step 4: Simplify right side
    844.36x = 674,777.80
  5. Step 5: Solve for x
    x = 674,777.80/844.36
  6. Step 6: Final answer
    x = 799.16

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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.