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Finding the Fourth Proportional to 992.60, 1,489.34 and 343.80

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Solution

The fourth proportional to 992.60, 1,489.34 and 343.80 is: 515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.60 : 1,489.34 = 343.80 : x
  2. Step 2: Convert to fraction form
    992.60/1,489.34 = 343.80/x
  3. Step 3: Cross multiply
    992.60x = 1,489.34 × 343.80
  4. Step 4: Simplify right side
    992.60x = 512,035.09
  5. Step 5: Solve for x
    x = 512,035.09/992.60
  6. Step 6: Final answer
    x = 515.85

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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.