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Finding the Fourth Proportional to 1,649.75, 2,474.34 and 725.06

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Solution

The fourth proportional to 1,649.75, 2,474.34 and 725.06 is: 1,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.75 : 2,474.34 = 725.06 : x
  2. Step 2: Convert to fraction form
    1,649.75/2,474.34 = 725.06/x
  3. Step 3: Cross multiply
    1,649.75x = 2,474.34 × 725.06
  4. Step 4: Simplify right side
    1,649.75x = 1,794,044.96
  5. Step 5: Solve for x
    x = 1,794,044.96/1,649.75
  6. Step 6: Final answer
    x = 1,087.46

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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.