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Finding the Fourth Proportional to 1,273.76, 1,910.97 and 580.10

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Solution

The fourth proportional to 1,273.76, 1,910.97 and 580.10 is: 870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.76 : 1,910.97 = 580.10 : x
  2. Step 2: Convert to fraction form
    1,273.76/1,910.97 = 580.10/x
  3. Step 3: Cross multiply
    1,273.76x = 1,910.97 × 580.10
  4. Step 4: Simplify right side
    1,273.76x = 1,108,553.70
  5. Step 5: Solve for x
    x = 1,108,553.70/1,273.76
  6. Step 6: Final answer
    x = 870.30

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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.