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Finding the Fourth Proportional to 693.29, 1,040.08 and 199.69

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Solution

The fourth proportional to 693.29, 1,040.08 and 199.69 is: 299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.29 : 1,040.08 = 199.69 : x
  2. Step 2: Convert to fraction form
    693.29/1,040.08 = 199.69/x
  3. Step 3: Cross multiply
    693.29x = 1,040.08 × 199.69
  4. Step 4: Simplify right side
    693.29x = 207,693.33
  5. Step 5: Solve for x
    x = 207,693.33/693.29
  6. Step 6: Final answer
    x = 299.58

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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.