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Finding the Fourth Proportional to 992.39, 1,369.28 and 599.41

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Solution

The fourth proportional to 992.39, 1,369.28 and 599.41 is: 827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.39 : 1,369.28 = 599.41 : x
  2. Step 2: Convert to fraction form
    992.39/1,369.28 = 599.41/x
  3. Step 3: Cross multiply
    992.39x = 1,369.28 × 599.41
  4. Step 4: Simplify right side
    992.39x = 820,750.28
  5. Step 5: Solve for x
    x = 820,750.28/992.39
  6. Step 6: Final answer
    x = 827.04

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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.