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Finding the Fourth Proportional to 992.91, 1,369.84 and 599.79

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Solution

The fourth proportional to 992.91, 1,369.84 and 599.79 is: 827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.91 : 1,369.84 = 599.79 : x
  2. Step 2: Convert to fraction form
    992.91/1,369.84 = 599.79/x
  3. Step 3: Cross multiply
    992.91x = 1,369.84 × 599.79
  4. Step 4: Simplify right side
    992.91x = 821,616.33
  5. Step 5: Solve for x
    x = 821,616.33/992.91
  6. Step 6: Final answer
    x = 827.48

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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.