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Finding the Fourth Proportional to 1,698.58, 2,546.28 and 659.26

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Solution

The fourth proportional to 1,698.58, 2,546.28 and 659.26 is: 988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.58 : 2,546.28 = 659.26 : x
  2. Step 2: Convert to fraction form
    1,698.58/2,546.28 = 659.26/x
  3. Step 3: Cross multiply
    1,698.58x = 2,546.28 × 659.26
  4. Step 4: Simplify right side
    1,698.58x = 1,678,647.82
  5. Step 5: Solve for x
    x = 1,678,647.82/1,698.58
  6. Step 6: Final answer
    x = 988.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.