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Finding the Fourth Proportional to 676.78, 934.23 and 511.03

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Solution

The fourth proportional to 676.78, 934.23 and 511.03 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.78 : 934.23 = 511.03 : x
  2. Step 2: Convert to fraction form
    676.78/934.23 = 511.03/x
  3. Step 3: Cross multiply
    676.78x = 934.23 × 511.03
  4. Step 4: Simplify right side
    676.78x = 477,419.56
  5. Step 5: Solve for x
    x = 477,419.56/676.78
  6. Step 6: Final answer
    x = 705.43

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