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Finding the Fourth Proportional to 1,072.54, 1,608.42 and 414.46

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Solution

The fourth proportional to 1,072.54, 1,608.42 and 414.46 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.54 : 1,608.42 = 414.46 : x
  2. Step 2: Convert to fraction form
    1,072.54/1,608.42 = 414.46/x
  3. Step 3: Cross multiply
    1,072.54x = 1,608.42 × 414.46
  4. Step 4: Simplify right side
    1,072.54x = 666,625.75
  5. Step 5: Solve for x
    x = 666,625.75/1,072.54
  6. Step 6: Final answer
    x = 621.54

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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.