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Finding the Fourth Proportional to 1,278.67, 1,918.21 and 499.05

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Solution

The fourth proportional to 1,278.67, 1,918.21 and 499.05 is: 748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.67 : 1,918.21 = 499.05 : x
  2. Step 2: Convert to fraction form
    1,278.67/1,918.21 = 499.05/x
  3. Step 3: Cross multiply
    1,278.67x = 1,918.21 × 499.05
  4. Step 4: Simplify right side
    1,278.67x = 957,282.70
  5. Step 5: Solve for x
    x = 957,282.70/1,278.67
  6. Step 6: Final answer
    x = 748.66

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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.