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Finding the Fourth Proportional to 722.40, 996.07 and 683.48

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Solution

The fourth proportional to 722.40, 996.07 and 683.48 is: 942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.40 : 996.07 = 683.48 : x
  2. Step 2: Convert to fraction form
    722.40/996.07 = 683.48/x
  3. Step 3: Cross multiply
    722.40x = 996.07 × 683.48
  4. Step 4: Simplify right side
    722.40x = 680,787.23
  5. Step 5: Solve for x
    x = 680,787.23/722.40
  6. Step 6: Final answer
    x = 942.40

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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.