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Finding the Fourth Proportional to 994.82, 1,369.89 and 714.56

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Solution

The fourth proportional to 994.82, 1,369.89 and 714.56 is: 983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.82 : 1,369.89 = 714.56 : x
  2. Step 2: Convert to fraction form
    994.82/1,369.89 = 714.56/x
  3. Step 3: Cross multiply
    994.82x = 1,369.89 × 714.56
  4. Step 4: Simplify right side
    994.82x = 978,861.75
  5. Step 5: Solve for x
    x = 978,861.75/994.82
  6. Step 6: Final answer
    x = 983.96

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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.