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Finding the Fourth Proportional to 697.67, 1,046.52 and 210.73

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Solution

The fourth proportional to 697.67, 1,046.52 and 210.73 is: 316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.67 : 1,046.52 = 210.73 : x
  2. Step 2: Convert to fraction form
    697.67/1,046.52 = 210.73/x
  3. Step 3: Cross multiply
    697.67x = 1,046.52 × 210.73
  4. Step 4: Simplify right side
    697.67x = 220,526.87
  5. Step 5: Solve for x
    x = 220,526.87/697.67
  6. Step 6: Final answer
    x = 316.09

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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.