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Finding the Fourth Proportional to 992.44, 1,369.86 and 599.80

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Solution

The fourth proportional to 992.44, 1,369.86 and 599.80 is: 827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.44 : 1,369.86 = 599.80 : x
  2. Step 2: Convert to fraction form
    992.44/1,369.86 = 599.80/x
  3. Step 3: Cross multiply
    992.44x = 1,369.86 × 599.80
  4. Step 4: Simplify right side
    992.44x = 821,642.03
  5. Step 5: Solve for x
    x = 821,642.03/992.44
  6. Step 6: Final answer
    x = 827.90

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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.