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Finding the Fourth Proportional to 1,738.78, 2,608.09 and 568.63

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Solution

The fourth proportional to 1,738.78, 2,608.09 and 568.63 is: 852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.78 : 2,608.09 = 568.63 : x
  2. Step 2: Convert to fraction form
    1,738.78/2,608.09 = 568.63/x
  3. Step 3: Cross multiply
    1,738.78x = 2,608.09 × 568.63
  4. Step 4: Simplify right side
    1,738.78x = 1,483,039.00
  5. Step 5: Solve for x
    x = 1,483,039.00/1,738.78
  6. Step 6: Final answer
    x = 852.92

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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.