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Finding the Fourth Proportional to 1,072.62, 1,609.16 and 342.18

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Solution

The fourth proportional to 1,072.62, 1,609.16 and 342.18 is: 513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.62 : 1,609.16 = 342.18 : x
  2. Step 2: Convert to fraction form
    1,072.62/1,609.16 = 342.18/x
  3. Step 3: Cross multiply
    1,072.62x = 1,609.16 × 342.18
  4. Step 4: Simplify right side
    1,072.62x = 550,620.66
  5. Step 5: Solve for x
    x = 550,620.66/1,072.62
  6. Step 6: Final answer
    x = 513.34

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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.