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Finding the Fourth Proportional to 698.14, 1,046.76 and 600.67

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Solution

The fourth proportional to 698.14, 1,046.76 and 600.67 is: 900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.14 : 1,046.76 = 600.67 : x
  2. Step 2: Convert to fraction form
    698.14/1,046.76 = 600.67/x
  3. Step 3: Cross multiply
    698.14x = 1,046.76 × 600.67
  4. Step 4: Simplify right side
    698.14x = 628,757.33
  5. Step 5: Solve for x
    x = 628,757.33/698.14
  6. Step 6: Final answer
    x = 900.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.