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Finding the Fourth Proportional to 992.27, 1,369.24 and 593.85

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Solution

The fourth proportional to 992.27, 1,369.24 and 593.85 is: 819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.27 : 1,369.24 = 593.85 : x
  2. Step 2: Convert to fraction form
    992.27/1,369.24 = 593.85/x
  3. Step 3: Cross multiply
    992.27x = 1,369.24 × 593.85
  4. Step 4: Simplify right side
    992.27x = 813,126.82
  5. Step 5: Solve for x
    x = 813,126.82/992.27
  6. Step 6: Final answer
    x = 819.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.