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Finding the Fourth Proportional to 694.14, 1,042.12 and 365.32

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Solution

The fourth proportional to 694.14, 1,042.12 and 365.32 is: 548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.14 : 1,042.12 = 365.32 : x
  2. Step 2: Convert to fraction form
    694.14/1,042.12 = 365.32/x
  3. Step 3: Cross multiply
    694.14x = 1,042.12 × 365.32
  4. Step 4: Simplify right side
    694.14x = 380,707.28
  5. Step 5: Solve for x
    x = 380,707.28/694.14
  6. Step 6: Final answer
    x = 548.46

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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.