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Finding the Fourth Proportional to 698.17, 964.19 and 604.46

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Solution

The fourth proportional to 698.17, 964.19 and 604.46 is: 834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.17 : 964.19 = 604.46 : x
  2. Step 2: Convert to fraction form
    698.17/964.19 = 604.46/x
  3. Step 3: Cross multiply
    698.17x = 964.19 × 604.46
  4. Step 4: Simplify right side
    698.17x = 582,811.27
  5. Step 5: Solve for x
    x = 582,811.27/698.17
  6. Step 6: Final answer
    x = 834.78

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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.