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Finding the Fourth Proportional to 728.22, 996.05 and 716.88

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Solution

The fourth proportional to 728.22, 996.05 and 716.88 is: 980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.22 : 996.05 = 716.88 : x
  2. Step 2: Convert to fraction form
    728.22/996.05 = 716.88/x
  3. Step 3: Cross multiply
    728.22x = 996.05 × 716.88
  4. Step 4: Simplify right side
    728.22x = 714,050.12
  5. Step 5: Solve for x
    x = 714,050.12/728.22
  6. Step 6: Final answer
    x = 980.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.