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Finding the Fourth Proportional to 1,266.86, 1,900.29 and 445.14

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Solution

The fourth proportional to 1,266.86, 1,900.29 and 445.14 is: 667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.86 : 1,900.29 = 445.14 : x
  2. Step 2: Convert to fraction form
    1,266.86/1,900.29 = 445.14/x
  3. Step 3: Cross multiply
    1,266.86x = 1,900.29 × 445.14
  4. Step 4: Simplify right side
    1,266.86x = 845,895.09
  5. Step 5: Solve for x
    x = 845,895.09/1,266.86
  6. Step 6: Final answer
    x = 667.71

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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.