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Finding the Fourth Proportional to 1,273.91, 1,758.33 and 776.83

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Solution

The fourth proportional to 1,273.91, 1,758.33 and 776.83 is: 1,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.91 : 1,758.33 = 776.83 : x
  2. Step 2: Convert to fraction form
    1,273.91/1,758.33 = 776.83/x
  3. Step 3: Cross multiply
    1,273.91x = 1,758.33 × 776.83
  4. Step 4: Simplify right side
    1,273.91x = 1,365,923.49
  5. Step 5: Solve for x
    x = 1,365,923.49/1,273.91
  6. Step 6: Final answer
    x = 1,072.23

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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.