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Finding the Fourth Proportional to 683.74, 1,025.46 and 272.77

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Solution

The fourth proportional to 683.74, 1,025.46 and 272.77 is: 409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.74 : 1,025.46 = 272.77 : x
  2. Step 2: Convert to fraction form
    683.74/1,025.46 = 272.77/x
  3. Step 3: Cross multiply
    683.74x = 1,025.46 × 272.77
  4. Step 4: Simplify right side
    683.74x = 279,712.16
  5. Step 5: Solve for x
    x = 279,712.16/683.74
  6. Step 6: Final answer
    x = 409.09

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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.