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Finding the Fourth Proportional to 683.50, 1,024.44 and 293.38

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Solution

The fourth proportional to 683.50, 1,024.44 and 293.38 is: 439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.50 : 1,024.44 = 293.38 : x
  2. Step 2: Convert to fraction form
    683.50/1,024.44 = 293.38/x
  3. Step 3: Cross multiply
    683.50x = 1,024.44 × 293.38
  4. Step 4: Simplify right side
    683.50x = 300,550.21
  5. Step 5: Solve for x
    x = 300,550.21/683.50
  6. Step 6: Final answer
    x = 439.72

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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.