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Finding the Fourth Proportional to 683.47, 1,025.09 and 272.50

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Solution

The fourth proportional to 683.47, 1,025.09 and 272.50 is: 408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.47 : 1,025.09 = 272.50 : x
  2. Step 2: Convert to fraction form
    683.47/1,025.09 = 272.50/x
  3. Step 3: Cross multiply
    683.47x = 1,025.09 × 272.50
  4. Step 4: Simplify right side
    683.47x = 279,336.42
  5. Step 5: Solve for x
    x = 279,336.42/683.47
  6. Step 6: Final answer
    x = 408.70

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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.