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Finding the Fourth Proportional to 1,745.06, 2,617.84 and 512.56

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Solution

The fourth proportional to 1,745.06, 2,617.84 and 512.56 is: 768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.06 : 2,617.84 = 512.56 : x
  2. Step 2: Convert to fraction form
    1,745.06/2,617.84 = 512.56/x
  3. Step 3: Cross multiply
    1,745.06x = 2,617.84 × 512.56
  4. Step 4: Simplify right side
    1,745.06x = 1,341,800.07
  5. Step 5: Solve for x
    x = 1,341,800.07/1,745.06
  6. Step 6: Final answer
    x = 768.91

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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.