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Finding the Fourth Proportional to 716.09, 993.26 and 697.12

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Solution

The fourth proportional to 716.09, 993.26 and 697.12 is: 966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.09 : 993.26 = 697.12 : x
  2. Step 2: Convert to fraction form
    716.09/993.26 = 697.12/x
  3. Step 3: Cross multiply
    716.09x = 993.26 × 697.12
  4. Step 4: Simplify right side
    716.09x = 692,421.41
  5. Step 5: Solve for x
    x = 692,421.41/716.09
  6. Step 6: Final answer
    x = 966.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.