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Finding the Fourth Proportional to 992.89, 1,489.32 and 343.61

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Solution

The fourth proportional to 992.89, 1,489.32 and 343.61 is: 515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.89 : 1,489.32 = 343.61 : x
  2. Step 2: Convert to fraction form
    992.89/1,489.32 = 343.61/x
  3. Step 3: Cross multiply
    992.89x = 1,489.32 × 343.61
  4. Step 4: Simplify right side
    992.89x = 511,743.38
  5. Step 5: Solve for x
    x = 511,743.38/992.89
  6. Step 6: Final answer
    x = 515.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.