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Finding the Fourth Proportional to 960.07, 1,323.56 and 811.31

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Solution

The fourth proportional to 960.07, 1,323.56 and 811.31 is: 1,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.07 : 1,323.56 = 811.31 : x
  2. Step 2: Convert to fraction form
    960.07/1,323.56 = 811.31/x
  3. Step 3: Cross multiply
    960.07x = 1,323.56 × 811.31
  4. Step 4: Simplify right side
    960.07x = 1,073,817.46
  5. Step 5: Solve for x
    x = 1,073,817.46/960.07
  6. Step 6: Final answer
    x = 1,118.48

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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.