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Finding the Fourth Proportional to 960.90, 1,441.25 and 701.41

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Solution

The fourth proportional to 960.90, 1,441.25 and 701.41 is: 1,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.90 : 1,441.25 = 701.41 : x
  2. Step 2: Convert to fraction form
    960.90/1,441.25 = 701.41/x
  3. Step 3: Cross multiply
    960.90x = 1,441.25 × 701.41
  4. Step 4: Simplify right side
    960.90x = 1,010,907.36
  5. Step 5: Solve for x
    x = 1,010,907.36/960.90
  6. Step 6: Final answer
    x = 1,052.05

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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.