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Finding the Fourth Proportional to 1,426.27, 1,968.25 and 805.27

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Solution

The fourth proportional to 1,426.27, 1,968.25 and 805.27 is: 1,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.27 : 1,968.25 = 805.27 : x
  2. Step 2: Convert to fraction form
    1,426.27/1,968.25 = 805.27/x
  3. Step 3: Cross multiply
    1,426.27x = 1,968.25 × 805.27
  4. Step 4: Simplify right side
    1,426.27x = 1,584,965.74
  5. Step 5: Solve for x
    x = 1,584,965.74/1,426.27
  6. Step 6: Final answer
    x = 1,111.27

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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.