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Finding the Fourth Proportional to 716.87, 982.84 and 703.91

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Solution

The fourth proportional to 716.87, 982.84 and 703.91 is: 965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.87 : 982.84 = 703.91 : x
  2. Step 2: Convert to fraction form
    716.87/982.84 = 703.91/x
  3. Step 3: Cross multiply
    716.87x = 982.84 × 703.91
  4. Step 4: Simplify right side
    716.87x = 691,829.14
  5. Step 5: Solve for x
    x = 691,829.14/716.87
  6. Step 6: Final answer
    x = 965.07

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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.