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Finding the Fourth Proportional to 683.48, 1,024.65 and 293.78

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Solution

The fourth proportional to 683.48, 1,024.65 and 293.78 is: 440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.48 : 1,024.65 = 293.78 : x
  2. Step 2: Convert to fraction form
    683.48/1,024.65 = 293.78/x
  3. Step 3: Cross multiply
    683.48x = 1,024.65 × 293.78
  4. Step 4: Simplify right side
    683.48x = 301,016.55
  5. Step 5: Solve for x
    x = 301,016.55/683.48
  6. Step 6: Final answer
    x = 440.42

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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.