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Finding the Fourth Proportional to 1,649.33, 2,474.81 and 771.90

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Solution

The fourth proportional to 1,649.33, 2,474.81 and 771.90 is: 1,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.33 : 2,474.81 = 771.90 : x
  2. Step 2: Convert to fraction form
    1,649.33/2,474.81 = 771.90/x
  3. Step 3: Cross multiply
    1,649.33x = 2,474.81 × 771.90
  4. Step 4: Simplify right side
    1,649.33x = 1,910,295.59
  5. Step 5: Solve for x
    x = 1,910,295.59/1,649.33
  6. Step 6: Final answer
    x = 1,158.23

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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.