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Finding the Fourth Proportional to 1,049.92, 1,573.97 and 756.70

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Solution

The fourth proportional to 1,049.92, 1,573.97 and 756.70 is: 1,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.92 : 1,573.97 = 756.70 : x
  2. Step 2: Convert to fraction form
    1,049.92/1,573.97 = 756.70/x
  3. Step 3: Cross multiply
    1,049.92x = 1,573.97 × 756.70
  4. Step 4: Simplify right side
    1,049.92x = 1,191,015.38
  5. Step 5: Solve for x
    x = 1,191,015.38/1,049.92
  6. Step 6: Final answer
    x = 1,134.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.