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Finding the Fourth Proportional to 716.22, 983.61 and 665.46

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Solution

The fourth proportional to 716.22, 983.61 and 665.46 is: 913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.22 : 983.61 = 665.46 : x
  2. Step 2: Convert to fraction form
    716.22/983.61 = 665.46/x
  3. Step 3: Cross multiply
    716.22x = 983.61 × 665.46
  4. Step 4: Simplify right side
    716.22x = 654,553.11
  5. Step 5: Solve for x
    x = 654,553.11/716.22
  6. Step 6: Final answer
    x = 913.90

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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.