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Finding the Fourth Proportional to 1,277.87, 1,914 and 662.18

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Solution

The fourth proportional to 1,277.87, 1,914 and 662.18 is: 991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.87 : 1,914 = 662.18 : x
  2. Step 2: Convert to fraction form
    1,277.87/1,914 = 662.18/x
  3. Step 3: Cross multiply
    1,277.87x = 1,914 × 662.18
  4. Step 4: Simplify right side
    1,277.87x = 1,267,402.95
  5. Step 5: Solve for x
    x = 1,267,402.95/1,277.87
  6. Step 6: Final answer
    x = 991.81

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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.