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Finding the Fourth Proportional to 1,273.83, 1,910.76 and 689.28

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Solution

The fourth proportional to 1,273.83, 1,910.76 and 689.28 is: 1,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.83 : 1,910.76 = 689.28 : x
  2. Step 2: Convert to fraction form
    1,273.83/1,910.76 = 689.28/x
  3. Step 3: Cross multiply
    1,273.83x = 1,910.76 × 689.28
  4. Step 4: Simplify right side
    1,273.83x = 1,317,048.65
  5. Step 5: Solve for x
    x = 1,317,048.65/1,273.83
  6. Step 6: Final answer
    x = 1,033.93

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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.