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Finding the Fourth Proportional to 722.57, 1,084.10 and 311.94

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Solution

The fourth proportional to 722.57, 1,084.10 and 311.94 is: 468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.57 : 1,084.10 = 311.94 : x
  2. Step 2: Convert to fraction form
    722.57/1,084.10 = 311.94/x
  3. Step 3: Cross multiply
    722.57x = 1,084.10 × 311.94
  4. Step 4: Simplify right side
    722.57x = 338,172.59
  5. Step 5: Solve for x
    x = 338,172.59/722.57
  6. Step 6: Final answer
    x = 468.02

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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.