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Finding the Fourth Proportional to 1,131.11, 1,695.09 and 513.31

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Solution

The fourth proportional to 1,131.11, 1,695.09 and 513.31 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.11 : 1,695.09 = 513.31 : x
  2. Step 2: Convert to fraction form
    1,131.11/1,695.09 = 513.31/x
  3. Step 3: Cross multiply
    1,131.11x = 1,695.09 × 513.31
  4. Step 4: Simplify right side
    1,131.11x = 870,106.65
  5. Step 5: Solve for x
    x = 870,106.65/1,131.11
  6. Step 6: Final answer
    x = 769.25

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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.