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Finding the Fourth Proportional to 1,745.97, 2,618.62 and 650.23

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Solution

The fourth proportional to 1,745.97, 2,618.62 and 650.23 is: 975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.97 : 2,618.62 = 650.23 : x
  2. Step 2: Convert to fraction form
    1,745.97/2,618.62 = 650.23/x
  3. Step 3: Cross multiply
    1,745.97x = 2,618.62 × 650.23
  4. Step 4: Simplify right side
    1,745.97x = 1,702,705.28
  5. Step 5: Solve for x
    x = 1,702,705.28/1,745.97
  6. Step 6: Final answer
    x = 975.22

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1.5x scale

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.