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Finding the Fourth Proportional to 1,072.23, 1,608.27 and 292.20

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Solution

The fourth proportional to 1,072.23, 1,608.27 and 292.20 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.23 : 1,608.27 = 292.20 : x
  2. Step 2: Convert to fraction form
    1,072.23/1,608.27 = 292.20/x
  3. Step 3: Cross multiply
    1,072.23x = 1,608.27 × 292.20
  4. Step 4: Simplify right side
    1,072.23x = 469,936.49
  5. Step 5: Solve for x
    x = 469,936.49/1,072.23
  6. Step 6: Final answer
    x = 438.28

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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.