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Finding the Fourth Proportional to 623.16, 863.64 and 613.80

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Solution

The fourth proportional to 623.16, 863.64 and 613.80 is: 850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 863.64 = 613.80 : x
  2. Step 2: Convert to fraction form
    623.16/863.64 = 613.80/x
  3. Step 3: Cross multiply
    623.16x = 863.64 × 613.80
  4. Step 4: Simplify right side
    623.16x = 530,102.23
  5. Step 5: Solve for x
    x = 530,102.23/623.16
  6. Step 6: Final answer
    x = 850.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.