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Finding the Fourth Proportional to 728.20, 944.50 and 728.20

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Solution

The fourth proportional to 728.20, 944.50 and 728.20 is: 944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.20 : 944.50 = 728.20 : x
  2. Step 2: Convert to fraction form
    728.20/944.50 = 728.20/x
  3. Step 3: Cross multiply
    728.20x = 944.50 × 728.20
  4. Step 4: Simplify right side
    728.20x = 687,784.90
  5. Step 5: Solve for x
    x = 687,784.90/728.20
  6. Step 6: Final answer
    x = 944.50

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.