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Finding the Fourth Proportional to 1,276.70, 1,764.05 and 984.49

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Solution

The fourth proportional to 1,276.70, 1,764.05 and 984.49 is: 1,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.70 : 1,764.05 = 984.49 : x
  2. Step 2: Convert to fraction form
    1,276.70/1,764.05 = 984.49/x
  3. Step 3: Cross multiply
    1,276.70x = 1,764.05 × 984.49
  4. Step 4: Simplify right side
    1,276.70x = 1,736,680.25
  5. Step 5: Solve for x
    x = 1,736,680.25/1,276.70
  6. Step 6: Final answer
    x = 1,360.29

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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.