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Finding the Fourth Proportional to 694.75, 1,042.33 and 369.88

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Solution

The fourth proportional to 694.75, 1,042.33 and 369.88 is: 554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.75 : 1,042.33 = 369.88 : x
  2. Step 2: Convert to fraction form
    694.75/1,042.33 = 369.88/x
  3. Step 3: Cross multiply
    694.75x = 1,042.33 × 369.88
  4. Step 4: Simplify right side
    694.75x = 385,537.02
  5. Step 5: Solve for x
    x = 385,537.02/694.75
  6. Step 6: Final answer
    x = 554.93

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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.