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Finding the Fourth Proportional to 960.85, 1,441.67 and 460.27

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Solution

The fourth proportional to 960.85, 1,441.67 and 460.27 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.85 : 1,441.67 = 460.27 : x
  2. Step 2: Convert to fraction form
    960.85/1,441.67 = 460.27/x
  3. Step 3: Cross multiply
    960.85x = 1,441.67 × 460.27
  4. Step 4: Simplify right side
    960.85x = 663,560.84
  5. Step 5: Solve for x
    x = 663,560.84/960.85
  6. Step 6: Final answer
    x = 690.60

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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.