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Finding the Fourth Proportional to 1,363.05, 1,866.87 and 1,283.23

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Solution

The fourth proportional to 1,363.05, 1,866.87 and 1,283.23 is: 1,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.05 : 1,866.87 = 1,283.23 : x
  2. Step 2: Convert to fraction form
    1,363.05/1,866.87 = 1,283.23/x
  3. Step 3: Cross multiply
    1,363.05x = 1,866.87 × 1,283.23
  4. Step 4: Simplify right side
    1,363.05x = 2,395,623.59
  5. Step 5: Solve for x
    x = 2,395,623.59/1,363.05
  6. Step 6: Final answer
    x = 1,757.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.