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Finding the Fourth Proportional to 1,288.49, 1,782.81 and 1,123.05

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Solution

The fourth proportional to 1,288.49, 1,782.81 and 1,123.05 is: 1,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.49 : 1,782.81 = 1,123.05 : x
  2. Step 2: Convert to fraction form
    1,288.49/1,782.81 = 1,123.05/x
  3. Step 3: Cross multiply
    1,288.49x = 1,782.81 × 1,123.05
  4. Step 4: Simplify right side
    1,288.49x = 2,002,179.16
  5. Step 5: Solve for x
    x = 2,002,179.16/1,288.49
  6. Step 6: Final answer
    x = 1,553.90

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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.