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Finding the Fourth Proportional to 722.88, 1,084.03 and 394.09

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Solution

The fourth proportional to 722.88, 1,084.03 and 394.09 is: 590.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.88 : 1,084.03 = 394.09 : x
  2. Step 2: Convert to fraction form
    722.88/1,084.03 = 394.09/x
  3. Step 3: Cross multiply
    722.88x = 1,084.03 × 394.09
  4. Step 4: Simplify right side
    722.88x = 427,201.69
  5. Step 5: Solve for x
    x = 427,201.69/722.88
  6. Step 6: Final answer
    x = 590.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.