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Finding the Fourth Proportional to 698.22, 1,046.71 and 543.31

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Solution

The fourth proportional to 698.22, 1,046.71 and 543.31 is: 814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.22 : 1,046.71 = 543.31 : x
  2. Step 2: Convert to fraction form
    698.22/1,046.71 = 543.31/x
  3. Step 3: Cross multiply
    698.22x = 1,046.71 × 543.31
  4. Step 4: Simplify right side
    698.22x = 568,680.06
  5. Step 5: Solve for x
    x = 568,680.06/698.22
  6. Step 6: Final answer
    x = 814.47

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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.