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Finding the Fourth Proportional to 990.70, 1,367.42 and 768.96

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Solution

The fourth proportional to 990.70, 1,367.42 and 768.96 is: 1,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.70 : 1,367.42 = 768.96 : x
  2. Step 2: Convert to fraction form
    990.70/1,367.42 = 768.96/x
  3. Step 3: Cross multiply
    990.70x = 1,367.42 × 768.96
  4. Step 4: Simplify right side
    990.70x = 1,051,487.44
  5. Step 5: Solve for x
    x = 1,051,487.44/990.70
  6. Step 6: Final answer
    x = 1,061.36

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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.