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Finding the Fourth Proportional to 722.60, 1,083.42 and 311.18

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Solution

The fourth proportional to 722.60, 1,083.42 and 311.18 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.60 : 1,083.42 = 311.18 : x
  2. Step 2: Convert to fraction form
    722.60/1,083.42 = 311.18/x
  3. Step 3: Cross multiply
    722.60x = 1,083.42 × 311.18
  4. Step 4: Simplify right side
    722.60x = 337,138.64
  5. Step 5: Solve for x
    x = 337,138.64/722.60
  6. Step 6: Final answer
    x = 466.56

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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.