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Finding the Fourth Proportional to 1,170.99, 1,755.14 and 512.66

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Solution

The fourth proportional to 1,170.99, 1,755.14 and 512.66 is: 768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.99 : 1,755.14 = 512.66 : x
  2. Step 2: Convert to fraction form
    1,170.99/1,755.14 = 512.66/x
  3. Step 3: Cross multiply
    1,170.99x = 1,755.14 × 512.66
  4. Step 4: Simplify right side
    1,170.99x = 899,791.90
  5. Step 5: Solve for x
    x = 899,791.90/1,170.99
  6. Step 6: Final answer
    x = 768.40

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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.