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Finding the Fourth Proportional to 715.09, 991.87 and 696.12

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Solution

The fourth proportional to 715.09, 991.87 and 696.12 is: 965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.09 : 991.87 = 696.12 : x
  2. Step 2: Convert to fraction form
    715.09/991.87 = 696.12/x
  3. Step 3: Cross multiply
    715.09x = 991.87 × 696.12
  4. Step 4: Simplify right side
    715.09x = 690,464.58
  5. Step 5: Solve for x
    x = 690,464.58/715.09
  6. Step 6: Final answer
    x = 965.56

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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.