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Finding the Fourth Proportional to 683, 1,024.38 and 272

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Solution

The fourth proportional to 683, 1,024.38 and 272 is: 407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    683 : 1,024.38 = 272 : x
  2. Step 2: Convert to fraction form
    683/1,024.38 = 272/x
  3. Step 3: Cross multiply
    683x = 1,024.38 × 272
  4. Step 4: Simplify right side
    683x = 278,631.36
  5. Step 5: Solve for x
    x = 278,631.36/683
  6. Step 6: Final answer
    x = 407.95

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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.