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Finding the Fourth Proportional to 1,276.80, 1,914.08 and 755.52

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Solution

The fourth proportional to 1,276.80, 1,914.08 and 755.52 is: 1,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.80 : 1,914.08 = 755.52 : x
  2. Step 2: Convert to fraction form
    1,276.80/1,914.08 = 755.52/x
  3. Step 3: Cross multiply
    1,276.80x = 1,914.08 × 755.52
  4. Step 4: Simplify right side
    1,276.80x = 1,446,121.94
  5. Step 5: Solve for x
    x = 1,446,121.94/1,276.80
  6. Step 6: Final answer
    x = 1,132.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.