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Finding the Fourth Proportional to 683.74, 1,025.20 and 287.95

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Solution

The fourth proportional to 683.74, 1,025.20 and 287.95 is: 431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.74 : 1,025.20 = 287.95 : x
  2. Step 2: Convert to fraction form
    683.74/1,025.20 = 287.95/x
  3. Step 3: Cross multiply
    683.74x = 1,025.20 × 287.95
  4. Step 4: Simplify right side
    683.74x = 295,203.42
  5. Step 5: Solve for x
    x = 295,203.42/683.74
  6. Step 6: Final answer
    x = 431.75

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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.