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Finding the Fourth Proportional to 1,282.44, 1,923.66 and 633.18

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Solution

The fourth proportional to 1,282.44, 1,923.66 and 633.18 is: 949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.44 : 1,923.66 = 633.18 : x
  2. Step 2: Convert to fraction form
    1,282.44/1,923.66 = 633.18/x
  3. Step 3: Cross multiply
    1,282.44x = 1,923.66 × 633.18
  4. Step 4: Simplify right side
    1,282.44x = 1,218,023.04
  5. Step 5: Solve for x
    x = 1,218,023.04/1,282.44
  6. Step 6: Final answer
    x = 949.77

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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.