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Finding the Fourth Proportional to 1,150.15, 1,726.01 and 759.31

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Solution

The fourth proportional to 1,150.15, 1,726.01 and 759.31 is: 1,139.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.15 : 1,726.01 = 759.31 : x
  2. Step 2: Convert to fraction form
    1,150.15/1,726.01 = 759.31/x
  3. Step 3: Cross multiply
    1,150.15x = 1,726.01 × 759.31
  4. Step 4: Simplify right side
    1,150.15x = 1,310,576.65
  5. Step 5: Solve for x
    x = 1,310,576.65/1,150.15
  6. Step 6: Final answer
    x = 1,139.48

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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.