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Finding the Fourth Proportional to 1,072.93, 1,609.38 and 342.37

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Solution

The fourth proportional to 1,072.93, 1,609.38 and 342.37 is: 513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.93 : 1,609.38 = 342.37 : x
  2. Step 2: Convert to fraction form
    1,072.93/1,609.38 = 342.37/x
  3. Step 3: Cross multiply
    1,072.93x = 1,609.38 × 342.37
  4. Step 4: Simplify right side
    1,072.93x = 551,003.43
  5. Step 5: Solve for x
    x = 551,003.43/1,072.93
  6. Step 6: Final answer
    x = 513.55

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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.