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Finding the Fourth Proportional to 722.63, 1,082.57 and 576.67

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Solution

The fourth proportional to 722.63, 1,082.57 and 576.67 is: 863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.63 : 1,082.57 = 576.67 : x
  2. Step 2: Convert to fraction form
    722.63/1,082.57 = 576.67/x
  3. Step 3: Cross multiply
    722.63x = 1,082.57 × 576.67
  4. Step 4: Simplify right side
    722.63x = 624,280.05
  5. Step 5: Solve for x
    x = 624,280.05/722.63
  6. Step 6: Final answer
    x = 863.91

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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.