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Finding the Fourth Proportional to 1,266.84, 1,900.20 and 445.05

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Solution

The fourth proportional to 1,266.84, 1,900.20 and 445.05 is: 667.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.84 : 1,900.20 = 445.05 : x
  2. Step 2: Convert to fraction form
    1,266.84/1,900.20 = 445.05/x
  3. Step 3: Cross multiply
    1,266.84x = 1,900.20 × 445.05
  4. Step 4: Simplify right side
    1,266.84x = 845,684.01
  5. Step 5: Solve for x
    x = 845,684.01/1,266.84
  6. Step 6: Final answer
    x = 667.55

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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.