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Finding the Fourth Proportional to 1,072.97, 1,608.53 and 415.31

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Solution

The fourth proportional to 1,072.97, 1,608.53 and 415.31 is: 622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.97 : 1,608.53 = 415.31 : x
  2. Step 2: Convert to fraction form
    1,072.97/1,608.53 = 415.31/x
  3. Step 3: Cross multiply
    1,072.97x = 1,608.53 × 415.31
  4. Step 4: Simplify right side
    1,072.97x = 668,038.59
  5. Step 5: Solve for x
    x = 668,038.59/1,072.97
  6. Step 6: Final answer
    x = 622.61

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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.