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Finding the Fourth Proportional to 716.76, 989.41 and 451.22

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Solution

The fourth proportional to 716.76, 989.41 and 451.22 is: 622.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.76 : 989.41 = 451.22 : x
  2. Step 2: Convert to fraction form
    716.76/989.41 = 451.22/x
  3. Step 3: Cross multiply
    716.76x = 989.41 × 451.22
  4. Step 4: Simplify right side
    716.76x = 446,441.58
  5. Step 5: Solve for x
    x = 446,441.58/716.76
  6. Step 6: Final answer
    x = 622.86

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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.