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Finding the Fourth Proportional to 1,279.83, 1,768.29 and 1,138.70

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Solution

The fourth proportional to 1,279.83, 1,768.29 and 1,138.70 is: 1,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.83 : 1,768.29 = 1,138.70 : x
  2. Step 2: Convert to fraction form
    1,279.83/1,768.29 = 1,138.70/x
  3. Step 3: Cross multiply
    1,279.83x = 1,768.29 × 1,138.70
  4. Step 4: Simplify right side
    1,279.83x = 2,013,551.82
  5. Step 5: Solve for x
    x = 2,013,551.82/1,279.83
  6. Step 6: Final answer
    x = 1,573.30

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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.