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Finding the Fourth Proportional to 1,682.83, 2,524.22 and 450.24

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Solution

The fourth proportional to 1,682.83, 2,524.22 and 450.24 is: 675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.83 : 2,524.22 = 450.24 : x
  2. Step 2: Convert to fraction form
    1,682.83/2,524.22 = 450.24/x
  3. Step 3: Cross multiply
    1,682.83x = 2,524.22 × 450.24
  4. Step 4: Simplify right side
    1,682.83x = 1,136,512.20
  5. Step 5: Solve for x
    x = 1,136,512.20/1,682.83
  6. Step 6: Final answer
    x = 675.36

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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.