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Finding the Fourth Proportional to 676.38, 931.40 and 627.38

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Solution

The fourth proportional to 676.38, 931.40 and 627.38 is: 863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.38 : 931.40 = 627.38 : x
  2. Step 2: Convert to fraction form
    676.38/931.40 = 627.38/x
  3. Step 3: Cross multiply
    676.38x = 931.40 × 627.38
  4. Step 4: Simplify right side
    676.38x = 584,341.73
  5. Step 5: Solve for x
    x = 584,341.73/676.38
  6. Step 6: Final answer
    x = 863.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.