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Finding the Fourth Proportional to 683.51, 1,025.12 and 272.74

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Solution

The fourth proportional to 683.51, 1,025.12 and 272.74 is: 409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.51 : 1,025.12 = 272.74 : x
  2. Step 2: Convert to fraction form
    683.51/1,025.12 = 272.74/x
  3. Step 3: Cross multiply
    683.51x = 1,025.12 × 272.74
  4. Step 4: Simplify right side
    683.51x = 279,591.23
  5. Step 5: Solve for x
    x = 279,591.23/683.51
  6. Step 6: Final answer
    x = 409.05

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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.