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Finding the Fourth Proportional to 1,279.30, 1,763.81 and 836.50

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Solution

The fourth proportional to 1,279.30, 1,763.81 and 836.50 is: 1,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.30 : 1,763.81 = 836.50 : x
  2. Step 2: Convert to fraction form
    1,279.30/1,763.81 = 836.50/x
  3. Step 3: Cross multiply
    1,279.30x = 1,763.81 × 836.50
  4. Step 4: Simplify right side
    1,279.30x = 1,475,418.25
  5. Step 5: Solve for x
    x = 1,475,418.25/1,279.30
  6. Step 6: Final answer
    x = 1,153.31

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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.