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Finding the Fourth Proportional to 1,283.57, 1,772.76 and 1,143.69

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Solution

The fourth proportional to 1,283.57, 1,772.76 and 1,143.69 is: 1,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.57 : 1,772.76 = 1,143.69 : x
  2. Step 2: Convert to fraction form
    1,283.57/1,772.76 = 1,143.69/x
  3. Step 3: Cross multiply
    1,283.57x = 1,772.76 × 1,143.69
  4. Step 4: Simplify right side
    1,283.57x = 2,027,487.88
  5. Step 5: Solve for x
    x = 2,027,487.88/1,283.57
  6. Step 6: Final answer
    x = 1,579.57

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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.