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Finding the Fourth Proportional to 994.44, 1,369.88 and 923.56

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Solution

The fourth proportional to 994.44, 1,369.88 and 923.56 is: 1,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.44 : 1,369.88 = 923.56 : x
  2. Step 2: Convert to fraction form
    994.44/1,369.88 = 923.56/x
  3. Step 3: Cross multiply
    994.44x = 1,369.88 × 923.56
  4. Step 4: Simplify right side
    994.44x = 1,265,166.37
  5. Step 5: Solve for x
    x = 1,265,166.37/994.44
  6. Step 6: Final answer
    x = 1,272.24

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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.