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Finding the Fourth Proportional to 1,276.84, 1,914.96 and 455.09

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Solution

The fourth proportional to 1,276.84, 1,914.96 and 455.09 is: 682.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.84 : 1,914.96 = 455.09 : x
  2. Step 2: Convert to fraction form
    1,276.84/1,914.96 = 455.09/x
  3. Step 3: Cross multiply
    1,276.84x = 1,914.96 × 455.09
  4. Step 4: Simplify right side
    1,276.84x = 871,479.15
  5. Step 5: Solve for x
    x = 871,479.15/1,276.84
  6. Step 6: Final answer
    x = 682.53

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