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Finding the Fourth Proportional to 1,426.42, 1,968.37 and 805.42

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Solution

The fourth proportional to 1,426.42, 1,968.37 and 805.42 is: 1,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.42 : 1,968.37 = 805.42 : x
  2. Step 2: Convert to fraction form
    1,426.42/1,968.37 = 805.42/x
  3. Step 3: Cross multiply
    1,426.42x = 1,968.37 × 805.42
  4. Step 4: Simplify right side
    1,426.42x = 1,585,364.57
  5. Step 5: Solve for x
    x = 1,585,364.57/1,426.42
  6. Step 6: Final answer
    x = 1,111.43

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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.