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Finding the Fourth Proportional to 1,698.17, 2,546.97 and 465.37

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Solution

The fourth proportional to 1,698.17, 2,546.97 and 465.37 is: 697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.17 : 2,546.97 = 465.37 : x
  2. Step 2: Convert to fraction form
    1,698.17/2,546.97 = 465.37/x
  3. Step 3: Cross multiply
    1,698.17x = 2,546.97 × 465.37
  4. Step 4: Simplify right side
    1,698.17x = 1,185,270.69
  5. Step 5: Solve for x
    x = 1,185,270.69/1,698.17
  6. Step 6: Final answer
    x = 697.97

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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.