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Finding the Fourth Proportional to 1,194.98, 1,648.55 and 822.44

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Solution

The fourth proportional to 1,194.98, 1,648.55 and 822.44 is: 1,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.98 : 1,648.55 = 822.44 : x
  2. Step 2: Convert to fraction form
    1,194.98/1,648.55 = 822.44/x
  3. Step 3: Cross multiply
    1,194.98x = 1,648.55 × 822.44
  4. Step 4: Simplify right side
    1,194.98x = 1,355,839.64
  5. Step 5: Solve for x
    x = 1,355,839.64/1,194.98
  6. Step 6: Final answer
    x = 1,134.62

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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.