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Finding the Fourth Proportional to 967.28, 1,448.18 and 657.45

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Solution

The fourth proportional to 967.28, 1,448.18 and 657.45 is: 984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.28 : 1,448.18 = 657.45 : x
  2. Step 2: Convert to fraction form
    967.28/1,448.18 = 657.45/x
  3. Step 3: Cross multiply
    967.28x = 1,448.18 × 657.45
  4. Step 4: Simplify right side
    967.28x = 952,105.12
  5. Step 5: Solve for x
    x = 952,105.12/967.28
  6. Step 6: Final answer
    x = 984.32

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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.