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Finding the Fourth Proportional to 697.83, 1,046.84 and 210.80

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Solution

The fourth proportional to 697.83, 1,046.84 and 210.80 is: 316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.83 : 1,046.84 = 210.80 : x
  2. Step 2: Convert to fraction form
    697.83/1,046.84 = 210.80/x
  3. Step 3: Cross multiply
    697.83x = 1,046.84 × 210.80
  4. Step 4: Simplify right side
    697.83x = 220,667.58
  5. Step 5: Solve for x
    x = 220,667.58/697.83
  6. Step 6: Final answer
    x = 316.22

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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.