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Finding the Fourth Proportional to 689.29, 955.31 and 676.33

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Solution

The fourth proportional to 689.29, 955.31 and 676.33 is: 937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.29 : 955.31 = 676.33 : x
  2. Step 2: Convert to fraction form
    689.29/955.31 = 676.33/x
  3. Step 3: Cross multiply
    689.29x = 955.31 × 676.33
  4. Step 4: Simplify right side
    689.29x = 646,104.81
  5. Step 5: Solve for x
    x = 646,104.81/689.29
  6. Step 6: Final answer
    x = 937.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.