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Finding the Fourth Proportional to 1,683.26, 2,524.86 and 450.63

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Solution

The fourth proportional to 1,683.26, 2,524.86 and 450.63 is: 675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.26 : 2,524.86 = 450.63 : x
  2. Step 2: Convert to fraction form
    1,683.26/2,524.86 = 450.63/x
  3. Step 3: Cross multiply
    1,683.26x = 2,524.86 × 450.63
  4. Step 4: Simplify right side
    1,683.26x = 1,137,777.66
  5. Step 5: Solve for x
    x = 1,137,777.66/1,683.26
  6. Step 6: Final answer
    x = 675.94

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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.