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Finding the Fourth Proportional to 1,171.62, 1,757.97 and 513.41

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Solution

The fourth proportional to 1,171.62, 1,757.97 and 513.41 is: 770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.62 : 1,757.97 = 513.41 : x
  2. Step 2: Convert to fraction form
    1,171.62/1,757.97 = 513.41/x
  3. Step 3: Cross multiply
    1,171.62x = 1,757.97 × 513.41
  4. Step 4: Simplify right side
    1,171.62x = 902,559.38
  5. Step 5: Solve for x
    x = 902,559.38/1,171.62
  6. Step 6: Final answer
    x = 770.35

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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.