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Finding the Fourth Proportional to 1,649.50, 2,474.25 and 495.25

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Solution

The fourth proportional to 1,649.50, 2,474.25 and 495.25 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.50 : 2,474.25 = 495.25 : x
  2. Step 2: Convert to fraction form
    1,649.50/2,474.25 = 495.25/x
  3. Step 3: Cross multiply
    1,649.50x = 2,474.25 × 495.25
  4. Step 4: Simplify right side
    1,649.50x = 1,225,372.31
  5. Step 5: Solve for x
    x = 1,225,372.31/1,649.50
  6. Step 6: Final answer
    x = 742.88

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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.