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Finding the Fourth Proportional to 1,426.41, 1,968.71 and 828.98

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Solution

The fourth proportional to 1,426.41, 1,968.71 and 828.98 is: 1,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.41 : 1,968.71 = 828.98 : x
  2. Step 2: Convert to fraction form
    1,426.41/1,968.71 = 828.98/x
  3. Step 3: Cross multiply
    1,426.41x = 1,968.71 × 828.98
  4. Step 4: Simplify right side
    1,426.41x = 1,632,025.68
  5. Step 5: Solve for x
    x = 1,632,025.68/1,426.41
  6. Step 6: Final answer
    x = 1,144.15

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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.