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Finding the Fourth Proportional to 960.21, 1,323.90 and 623.55

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Solution

The fourth proportional to 960.21, 1,323.90 and 623.55 is: 859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.21 : 1,323.90 = 623.55 : x
  2. Step 2: Convert to fraction form
    960.21/1,323.90 = 623.55/x
  3. Step 3: Cross multiply
    960.21x = 1,323.90 × 623.55
  4. Step 4: Simplify right side
    960.21x = 825,517.85
  5. Step 5: Solve for x
    x = 825,517.85/960.21
  6. Step 6: Final answer
    x = 859.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.