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Finding the Fourth Proportional to 1,697.56, 2,546.39 and 543.31

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Solution

The fourth proportional to 1,697.56, 2,546.39 and 543.31 is: 814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.56 : 2,546.39 = 543.31 : x
  2. Step 2: Convert to fraction form
    1,697.56/2,546.39 = 543.31/x
  3. Step 3: Cross multiply
    1,697.56x = 2,546.39 × 543.31
  4. Step 4: Simplify right side
    1,697.56x = 1,383,479.15
  5. Step 5: Solve for x
    x = 1,383,479.15/1,697.56
  6. Step 6: Final answer
    x = 814.98

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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.