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Finding the Fourth Proportional to 1,121.28, 1,546.72 and 728.56

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Solution

The fourth proportional to 1,121.28, 1,546.72 and 728.56 is: 1,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.28 : 1,546.72 = 728.56 : x
  2. Step 2: Convert to fraction form
    1,121.28/1,546.72 = 728.56/x
  3. Step 3: Cross multiply
    1,121.28x = 1,546.72 × 728.56
  4. Step 4: Simplify right side
    1,121.28x = 1,126,878.32
  5. Step 5: Solve for x
    x = 1,126,878.32/1,121.28
  6. Step 6: Final answer
    x = 1,004.99

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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.