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Finding the Fourth Proportional to 960.22, 1,323.88 and 623.53

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Solution

The fourth proportional to 960.22, 1,323.88 and 623.53 is: 859.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.22 : 1,323.88 = 623.53 : x
  2. Step 2: Convert to fraction form
    960.22/1,323.88 = 623.53/x
  3. Step 3: Cross multiply
    960.22x = 1,323.88 × 623.53
  4. Step 4: Simplify right side
    960.22x = 825,478.99
  5. Step 5: Solve for x
    x = 825,478.99/960.22
  6. Step 6: Final answer
    x = 859.68

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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.