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Finding the Fourth Proportional to 694.56, 1,042.08 and 262.08

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Solution

The fourth proportional to 694.56, 1,042.08 and 262.08 is: 393.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.56 : 1,042.08 = 262.08 : x
  2. Step 2: Convert to fraction form
    694.56/1,042.08 = 262.08/x
  3. Step 3: Cross multiply
    694.56x = 1,042.08 × 262.08
  4. Step 4: Simplify right side
    694.56x = 273,108.33
  5. Step 5: Solve for x
    x = 273,108.33/694.56
  6. Step 6: Final answer
    x = 393.21

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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.