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Finding the Fourth Proportional to 992.24, 1,369.19 and 593.82

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Solution

The fourth proportional to 992.24, 1,369.19 and 593.82 is: 819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.24 : 1,369.19 = 593.82 : x
  2. Step 2: Convert to fraction form
    992.24/1,369.19 = 593.82/x
  3. Step 3: Cross multiply
    992.24x = 1,369.19 × 593.82
  4. Step 4: Simplify right side
    992.24x = 813,052.41
  5. Step 5: Solve for x
    x = 813,052.41/992.24
  6. Step 6: Final answer
    x = 819.42

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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.