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Finding the Fourth Proportional to 1,683.88, 2,525.96 and 513.86

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Solution

The fourth proportional to 1,683.88, 2,525.96 and 513.86 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.88 : 2,525.96 = 513.86 : x
  2. Step 2: Convert to fraction form
    1,683.88/2,525.96 = 513.86/x
  3. Step 3: Cross multiply
    1,683.88x = 2,525.96 × 513.86
  4. Step 4: Simplify right side
    1,683.88x = 1,297,978.46
  5. Step 5: Solve for x
    x = 1,297,978.46/1,683.88
  6. Step 6: Final answer
    x = 770.83

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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.