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Finding the Fourth Proportional to 697.91, 1,047.04 and 210.97

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Solution

The fourth proportional to 697.91, 1,047.04 and 210.97 is: 316.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.91 : 1,047.04 = 210.97 : x
  2. Step 2: Convert to fraction form
    697.91/1,047.04 = 210.97/x
  3. Step 3: Cross multiply
    697.91x = 1,047.04 × 210.97
  4. Step 4: Simplify right side
    697.91x = 220,890.88
  5. Step 5: Solve for x
    x = 220,890.88/697.91
  6. Step 6: Final answer
    x = 316.51

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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.