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Finding the Fourth Proportional to 683.22, 1,024.10 and 318.26

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Solution

The fourth proportional to 683.22, 1,024.10 and 318.26 is: 477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.22 : 1,024.10 = 318.26 : x
  2. Step 2: Convert to fraction form
    683.22/1,024.10 = 318.26/x
  3. Step 3: Cross multiply
    683.22x = 1,024.10 × 318.26
  4. Step 4: Simplify right side
    683.22x = 325,930.07
  5. Step 5: Solve for x
    x = 325,930.07/683.22
  6. Step 6: Final answer
    x = 477.05

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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.