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Finding the Fourth Proportional to 685, 1,027.64 and 198.01

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Solution

The fourth proportional to 685, 1,027.64 and 198.01 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685 : 1,027.64 = 198.01 : x
  2. Step 2: Convert to fraction form
    685/1,027.64 = 198.01/x
  3. Step 3: Cross multiply
    685x = 1,027.64 × 198.01
  4. Step 4: Simplify right side
    685x = 203,483.00
  5. Step 5: Solve for x
    x = 203,483.00/685
  6. Step 6: Final answer
    x = 297.06

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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.