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Finding the Fourth Proportional to 1,072.88, 1,609.54 and 414.75

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Solution

The fourth proportional to 1,072.88, 1,609.54 and 414.75 is: 622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.88 : 1,609.54 = 414.75 : x
  2. Step 2: Convert to fraction form
    1,072.88/1,609.54 = 414.75/x
  3. Step 3: Cross multiply
    1,072.88x = 1,609.54 × 414.75
  4. Step 4: Simplify right side
    1,072.88x = 667,561.71
  5. Step 5: Solve for x
    x = 667,561.71/1,072.88
  6. Step 6: Final answer
    x = 622.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.