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Finding the Fourth Proportional to 689.05, 951.04 and 539.38

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Solution

The fourth proportional to 689.05, 951.04 and 539.38 is: 744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.05 : 951.04 = 539.38 : x
  2. Step 2: Convert to fraction form
    689.05/951.04 = 539.38/x
  3. Step 3: Cross multiply
    689.05x = 951.04 × 539.38
  4. Step 4: Simplify right side
    689.05x = 512,965.43
  5. Step 5: Solve for x
    x = 512,965.43/689.05
  6. Step 6: Final answer
    x = 744.46

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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.