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Finding the Fourth Proportional to 1,033.80, 1,426.60 and 568.05

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Solution

The fourth proportional to 1,033.80, 1,426.60 and 568.05 is: 783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.80 : 1,426.60 = 568.05 : x
  2. Step 2: Convert to fraction form
    1,033.80/1,426.60 = 568.05/x
  3. Step 3: Cross multiply
    1,033.80x = 1,426.60 × 568.05
  4. Step 4: Simplify right side
    1,033.80x = 810,380.13
  5. Step 5: Solve for x
    x = 810,380.13/1,033.80
  6. Step 6: Final answer
    x = 783.88

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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.