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Finding the Fourth Proportional to 1,276.73, 1,914.78 and 618.20

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Solution

The fourth proportional to 1,276.73, 1,914.78 and 618.20 is: 927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.73 : 1,914.78 = 618.20 : x
  2. Step 2: Convert to fraction form
    1,276.73/1,914.78 = 618.20/x
  3. Step 3: Cross multiply
    1,276.73x = 1,914.78 × 618.20
  4. Step 4: Simplify right side
    1,276.73x = 1,183,707.42
  5. Step 5: Solve for x
    x = 1,183,707.42/1,276.73
  6. Step 6: Final answer
    x = 927.14

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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.