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Finding the Fourth Proportional to 1,299.70, 1,795.49 and 1,124.74

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Solution

The fourth proportional to 1,299.70, 1,795.49 and 1,124.74 is: 1,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.70 : 1,795.49 = 1,124.74 : x
  2. Step 2: Convert to fraction form
    1,299.70/1,795.49 = 1,124.74/x
  3. Step 3: Cross multiply
    1,299.70x = 1,795.49 × 1,124.74
  4. Step 4: Simplify right side
    1,299.70x = 2,019,456.04
  5. Step 5: Solve for x
    x = 2,019,456.04/1,299.70
  6. Step 6: Final answer
    x = 1,553.78

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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.