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Finding the Fourth Proportional to 1,683.14, 2,524.41 and 512.86

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Solution

The fourth proportional to 1,683.14, 2,524.41 and 512.86 is: 769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.14 : 2,524.41 = 512.86 : x
  2. Step 2: Convert to fraction form
    1,683.14/2,524.41 = 512.86/x
  3. Step 3: Cross multiply
    1,683.14x = 2,524.41 × 512.86
  4. Step 4: Simplify right side
    1,683.14x = 1,294,668.91
  5. Step 5: Solve for x
    x = 1,294,668.91/1,683.14
  6. Step 6: Final answer
    x = 769.20

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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.