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Finding the Fourth Proportional to 992.27, 1,369.49 and 599.35

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Solution

The fourth proportional to 992.27, 1,369.49 and 599.35 is: 827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.27 : 1,369.49 = 599.35 : x
  2. Step 2: Convert to fraction form
    992.27/1,369.49 = 599.35/x
  3. Step 3: Cross multiply
    992.27x = 1,369.49 × 599.35
  4. Step 4: Simplify right side
    992.27x = 820,803.83
  5. Step 5: Solve for x
    x = 820,803.83/992.27
  6. Step 6: Final answer
    x = 827.20

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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.