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Finding the Fourth Proportional to 1,759.63, 2,639.14 and 664

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Solution

The fourth proportional to 1,759.63, 2,639.14 and 664 is: 995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.63 : 2,639.14 = 664 : x
  2. Step 2: Convert to fraction form
    1,759.63/2,639.14 = 664/x
  3. Step 3: Cross multiply
    1,759.63x = 2,639.14 × 664
  4. Step 4: Simplify right side
    1,759.63x = 1,752,388.96
  5. Step 5: Solve for x
    x = 1,752,388.96/1,759.63
  6. Step 6: Final answer
    x = 995.88

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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.