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Finding the Fourth Proportional to 844.61, 1,165.86 and 579.20

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Solution

The fourth proportional to 844.61, 1,165.86 and 579.20 is: 799.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.61 : 1,165.86 = 579.20 : x
  2. Step 2: Convert to fraction form
    844.61/1,165.86 = 579.20/x
  3. Step 3: Cross multiply
    844.61x = 1,165.86 × 579.20
  4. Step 4: Simplify right side
    844.61x = 675,266.11
  5. Step 5: Solve for x
    x = 675,266.11/844.61
  6. Step 6: Final answer
    x = 799.50

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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.