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Finding the Fourth Proportional to 693.05, 1,039.67 and 254.24

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Solution

The fourth proportional to 693.05, 1,039.67 and 254.24 is: 381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.05 : 1,039.67 = 254.24 : x
  2. Step 2: Convert to fraction form
    693.05/1,039.67 = 254.24/x
  3. Step 3: Cross multiply
    693.05x = 1,039.67 × 254.24
  4. Step 4: Simplify right side
    693.05x = 264,325.70
  5. Step 5: Solve for x
    x = 264,325.70/693.05
  6. Step 6: Final answer
    x = 381.39

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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.