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Finding the Fourth Proportional to 1,426.56, 1,968.12 and 829

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Solution

The fourth proportional to 1,426.56, 1,968.12 and 829 is: 1,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.56 : 1,968.12 = 829 : x
  2. Step 2: Convert to fraction form
    1,426.56/1,968.12 = 829/x
  3. Step 3: Cross multiply
    1,426.56x = 1,968.12 × 829
  4. Step 4: Simplify right side
    1,426.56x = 1,631,571.48
  5. Step 5: Solve for x
    x = 1,631,571.48/1,426.56
  6. Step 6: Final answer
    x = 1,143.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.