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Finding the Fourth Proportional to 992.45, 1,369.79 and 599.69

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Solution

The fourth proportional to 992.45, 1,369.79 and 599.69 is: 827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.45 : 1,369.79 = 599.69 : x
  2. Step 2: Convert to fraction form
    992.45/1,369.79 = 599.69/x
  3. Step 3: Cross multiply
    992.45x = 1,369.79 × 599.69
  4. Step 4: Simplify right side
    992.45x = 821,446.37
  5. Step 5: Solve for x
    x = 821,446.37/992.45
  6. Step 6: Final answer
    x = 827.70

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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.