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Finding the Fourth Proportional to 1,414.89, 2,122.53 and 441.07

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Solution

The fourth proportional to 1,414.89, 2,122.53 and 441.07 is: 661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.89 : 2,122.53 = 441.07 : x
  2. Step 2: Convert to fraction form
    1,414.89/2,122.53 = 441.07/x
  3. Step 3: Cross multiply
    1,414.89x = 2,122.53 × 441.07
  4. Step 4: Simplify right side
    1,414.89x = 936,173.69
  5. Step 5: Solve for x
    x = 936,173.69/1,414.89
  6. Step 6: Final answer
    x = 661.66

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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.