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Finding the Fourth Proportional to 1,738.25, 2,607.77 and 568.30

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Solution

The fourth proportional to 1,738.25, 2,607.77 and 568.30 is: 852.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.25 : 2,607.77 = 568.30 : x
  2. Step 2: Convert to fraction form
    1,738.25/2,607.77 = 568.30/x
  3. Step 3: Cross multiply
    1,738.25x = 2,607.77 × 568.30
  4. Step 4: Simplify right side
    1,738.25x = 1,481,995.69
  5. Step 5: Solve for x
    x = 1,481,995.69/1,738.25
  6. Step 6: Final answer
    x = 852.58

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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.