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Finding the Fourth Proportional to 1,291.69, 1,936.84 and 511.66

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Solution

The fourth proportional to 1,291.69, 1,936.84 and 511.66 is: 767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.69 : 1,936.84 = 511.66 : x
  2. Step 2: Convert to fraction form
    1,291.69/1,936.84 = 511.66/x
  3. Step 3: Cross multiply
    1,291.69x = 1,936.84 × 511.66
  4. Step 4: Simplify right side
    1,291.69x = 990,991.31
  5. Step 5: Solve for x
    x = 990,991.31/1,291.69
  6. Step 6: Final answer
    x = 767.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.