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Finding the Fourth Proportional to 1,277.05, 1,914.90 and 455.20

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Solution

The fourth proportional to 1,277.05, 1,914.90 and 455.20 is: 682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.05 : 1,914.90 = 455.20 : x
  2. Step 2: Convert to fraction form
    1,277.05/1,914.90 = 455.20/x
  3. Step 3: Cross multiply
    1,277.05x = 1,914.90 × 455.20
  4. Step 4: Simplify right side
    1,277.05x = 871,662.48
  5. Step 5: Solve for x
    x = 871,662.48/1,277.05
  6. Step 6: Final answer
    x = 682.56

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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.