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Finding the Fourth Proportional to 697.82, 1,046.70 and 210.86

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Solution

The fourth proportional to 697.82, 1,046.70 and 210.86 is: 316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.82 : 1,046.70 = 210.86 : x
  2. Step 2: Convert to fraction form
    697.82/1,046.70 = 210.86/x
  3. Step 3: Cross multiply
    697.82x = 1,046.70 × 210.86
  4. Step 4: Simplify right side
    697.82x = 220,707.16
  5. Step 5: Solve for x
    x = 220,707.16/697.82
  6. Step 6: Final answer
    x = 316.28

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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.