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Finding the Fourth Proportional to 1,072.26, 1,608.60 and 414.13

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Solution

The fourth proportional to 1,072.26, 1,608.60 and 414.13 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.26 : 1,608.60 = 414.13 : x
  2. Step 2: Convert to fraction form
    1,072.26/1,608.60 = 414.13/x
  3. Step 3: Cross multiply
    1,072.26x = 1,608.60 × 414.13
  4. Step 4: Simplify right side
    1,072.26x = 666,169.52
  5. Step 5: Solve for x
    x = 666,169.52/1,072.26
  6. Step 6: Final answer
    x = 621.28

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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.