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Finding the Fourth Proportional to 689.76, 951.30 and 606.69

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Solution

The fourth proportional to 689.76, 951.30 and 606.69 is: 836.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.76 : 951.30 = 606.69 : x
  2. Step 2: Convert to fraction form
    689.76/951.30 = 606.69/x
  3. Step 3: Cross multiply
    689.76x = 951.30 × 606.69
  4. Step 4: Simplify right side
    689.76x = 577,144.20
  5. Step 5: Solve for x
    x = 577,144.20/689.76
  6. Step 6: Final answer
    x = 836.73

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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.