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Finding the Fourth Proportional to 683.50, 1,024.81 and 317.82

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Solution

The fourth proportional to 683.50, 1,024.81 and 317.82 is: 476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.50 : 1,024.81 = 317.82 : x
  2. Step 2: Convert to fraction form
    683.50/1,024.81 = 317.82/x
  3. Step 3: Cross multiply
    683.50x = 1,024.81 × 317.82
  4. Step 4: Simplify right side
    683.50x = 325,705.11
  5. Step 5: Solve for x
    x = 325,705.11/683.50
  6. Step 6: Final answer
    x = 476.53

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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.