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Finding the Fourth Proportional to 683.49, 1,024.43 and 317.51

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Solution

The fourth proportional to 683.49, 1,024.43 and 317.51 is: 475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.49 : 1,024.43 = 317.51 : x
  2. Step 2: Convert to fraction form
    683.49/1,024.43 = 317.51/x
  3. Step 3: Cross multiply
    683.49x = 1,024.43 × 317.51
  4. Step 4: Simplify right side
    683.49x = 325,260.06
  5. Step 5: Solve for x
    x = 325,260.06/683.49
  6. Step 6: Final answer
    x = 475.88

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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.