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Finding the Fourth Proportional to 1,276.68, 1,914.42 and 756.76

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Solution

The fourth proportional to 1,276.68, 1,914.42 and 756.76 is: 1,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.68 : 1,914.42 = 756.76 : x
  2. Step 2: Convert to fraction form
    1,276.68/1,914.42 = 756.76/x
  3. Step 3: Cross multiply
    1,276.68x = 1,914.42 × 756.76
  4. Step 4: Simplify right side
    1,276.68x = 1,448,748.98
  5. Step 5: Solve for x
    x = 1,448,748.98/1,276.68
  6. Step 6: Final answer
    x = 1,134.78

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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.