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Finding the Fourth Proportional to 716.88, 982.14 and 690.96

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Solution

The fourth proportional to 716.88, 982.14 and 690.96 is: 946.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.88 : 982.14 = 690.96 : x
  2. Step 2: Convert to fraction form
    716.88/982.14 = 690.96/x
  3. Step 3: Cross multiply
    716.88x = 982.14 × 690.96
  4. Step 4: Simplify right side
    716.88x = 678,619.45
  5. Step 5: Solve for x
    x = 678,619.45/716.88
  6. Step 6: Final answer
    x = 946.63

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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.