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Finding the Fourth Proportional to 960.72, 1,441.80 and 770.64

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Solution

The fourth proportional to 960.72, 1,441.80 and 770.64 is: 1,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.72 : 1,441.80 = 770.64 : x
  2. Step 2: Convert to fraction form
    960.72/1,441.80 = 770.64/x
  3. Step 3: Cross multiply
    960.72x = 1,441.80 × 770.64
  4. Step 4: Simplify right side
    960.72x = 1,111,108.75
  5. Step 5: Solve for x
    x = 1,111,108.75/960.72
  6. Step 6: Final answer
    x = 1,156.54

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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.