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Finding the Fourth Proportional to 1,171.18, 1,755.09 and 512.26

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Solution

The fourth proportional to 1,171.18, 1,755.09 and 512.26 is: 767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.18 : 1,755.09 = 512.26 : x
  2. Step 2: Convert to fraction form
    1,171.18/1,755.09 = 512.26/x
  3. Step 3: Cross multiply
    1,171.18x = 1,755.09 × 512.26
  4. Step 4: Simplify right side
    1,171.18x = 899,062.40
  5. Step 5: Solve for x
    x = 899,062.40/1,171.18
  6. Step 6: Final answer
    x = 767.66

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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.