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Finding the Fourth Proportional to 689.22, 943.67 and 686.79

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Solution

The fourth proportional to 689.22, 943.67 and 686.79 is: 940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.22 : 943.67 = 686.79 : x
  2. Step 2: Convert to fraction form
    689.22/943.67 = 686.79/x
  3. Step 3: Cross multiply
    689.22x = 943.67 × 686.79
  4. Step 4: Simplify right side
    689.22x = 648,104.84
  5. Step 5: Solve for x
    x = 648,104.84/689.22
  6. Step 6: Final answer
    x = 940.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.