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Finding the Fourth Proportional to 1,471.48, 2,208.09 and 650.41

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Solution

The fourth proportional to 1,471.48, 2,208.09 and 650.41 is: 976.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.48 : 2,208.09 = 650.41 : x
  2. Step 2: Convert to fraction form
    1,471.48/2,208.09 = 650.41/x
  3. Step 3: Cross multiply
    1,471.48x = 2,208.09 × 650.41
  4. Step 4: Simplify right side
    1,471.48x = 1,436,163.82
  5. Step 5: Solve for x
    x = 1,436,163.82/1,471.48
  6. Step 6: Final answer
    x = 976.00

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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.