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Finding the Fourth Proportional to 1,071.61, 1,608.27 and 422.80

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Solution

The fourth proportional to 1,071.61, 1,608.27 and 422.80 is: 634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.61 : 1,608.27 = 422.80 : x
  2. Step 2: Convert to fraction form
    1,071.61/1,608.27 = 422.80/x
  3. Step 3: Cross multiply
    1,071.61x = 1,608.27 × 422.80
  4. Step 4: Simplify right side
    1,071.61x = 679,976.56
  5. Step 5: Solve for x
    x = 679,976.56/1,071.61
  6. Step 6: Final answer
    x = 634.54

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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.