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Finding the Fourth Proportional to 693.57, 1,040.20 and 199.98

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Solution

The fourth proportional to 693.57, 1,040.20 and 199.98 is: 299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.57 : 1,040.20 = 199.98 : x
  2. Step 2: Convert to fraction form
    693.57/1,040.20 = 199.98/x
  3. Step 3: Cross multiply
    693.57x = 1,040.20 × 199.98
  4. Step 4: Simplify right side
    693.57x = 208,016.33
  5. Step 5: Solve for x
    x = 208,016.33/693.57
  6. Step 6: Final answer
    x = 299.92

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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.