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Finding the Fourth Proportional to 683.15, 1,018.71 and 676.97

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Solution

The fourth proportional to 683.15, 1,018.71 and 676.97 is: 1,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.15 : 1,018.71 = 676.97 : x
  2. Step 2: Convert to fraction form
    683.15/1,018.71 = 676.97/x
  3. Step 3: Cross multiply
    683.15x = 1,018.71 × 676.97
  4. Step 4: Simplify right side
    683.15x = 689,640.57
  5. Step 5: Solve for x
    x = 689,640.57/683.15
  6. Step 6: Final answer
    x = 1,009.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.