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Finding the Fourth Proportional to 698.34, 1,046.91 and 543.43

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Solution

The fourth proportional to 698.34, 1,046.91 and 543.43 is: 814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.34 : 1,046.91 = 543.43 : x
  2. Step 2: Convert to fraction form
    698.34/1,046.91 = 543.43/x
  3. Step 3: Cross multiply
    698.34x = 1,046.91 × 543.43
  4. Step 4: Simplify right side
    698.34x = 568,922.30
  5. Step 5: Solve for x
    x = 568,922.30/698.34
  6. Step 6: Final answer
    x = 814.68

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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.