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Finding the Fourth Proportional to 755.10, 1,131.87 and 511.65

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Solution

The fourth proportional to 755.10, 1,131.87 and 511.65 is: 766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.10 : 1,131.87 = 511.65 : x
  2. Step 2: Convert to fraction form
    755.10/1,131.87 = 511.65/x
  3. Step 3: Cross multiply
    755.10x = 1,131.87 × 511.65
  4. Step 4: Simplify right side
    755.10x = 579,121.29
  5. Step 5: Solve for x
    x = 579,121.29/755.10
  6. Step 6: Final answer
    x = 766.95

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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.