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Finding the Fourth Proportional to 683.58, 1,023.84 and 317.82

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Solution

The fourth proportional to 683.58, 1,023.84 and 317.82 is: 476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.58 : 1,023.84 = 317.82 : x
  2. Step 2: Convert to fraction form
    683.58/1,023.84 = 317.82/x
  3. Step 3: Cross multiply
    683.58x = 1,023.84 × 317.82
  4. Step 4: Simplify right side
    683.58x = 325,396.83
  5. Step 5: Solve for x
    x = 325,396.83/683.58
  6. Step 6: Final answer
    x = 476.02

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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.