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Finding the Fourth Proportional to 723.21, 996.24 and 686.15

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Solution

The fourth proportional to 723.21, 996.24 and 686.15 is: 945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.21 : 996.24 = 686.15 : x
  2. Step 2: Convert to fraction form
    723.21/996.24 = 686.15/x
  3. Step 3: Cross multiply
    723.21x = 996.24 × 686.15
  4. Step 4: Simplify right side
    723.21x = 683,570.08
  5. Step 5: Solve for x
    x = 683,570.08/723.21
  6. Step 6: Final answer
    x = 945.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.