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Finding the Fourth Proportional to 1,550, 2,324.04 and 728.44

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Solution

The fourth proportional to 1,550, 2,324.04 and 728.44 is: 1,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550 : 2,324.04 = 728.44 : x
  2. Step 2: Convert to fraction form
    1,550/2,324.04 = 728.44/x
  3. Step 3: Cross multiply
    1,550x = 2,324.04 × 728.44
  4. Step 4: Simplify right side
    1,550x = 1,692,923.70
  5. Step 5: Solve for x
    x = 1,692,923.70/1,550
  6. Step 6: Final answer
    x = 1,092.21

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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.