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Finding the Fourth Proportional to 719.45, 984.35 and 716.75

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Solution

The fourth proportional to 719.45, 984.35 and 716.75 is: 980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.45 : 984.35 = 716.75 : x
  2. Step 2: Convert to fraction form
    719.45/984.35 = 716.75/x
  3. Step 3: Cross multiply
    719.45x = 984.35 × 716.75
  4. Step 4: Simplify right side
    719.45x = 705,524.36
  5. Step 5: Solve for x
    x = 705,524.36/719.45
  6. Step 6: Final answer
    x = 980.65

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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.