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Finding the Fourth Proportional to 755.74, 1,131.27 and 645.04

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Solution

The fourth proportional to 755.74, 1,131.27 and 645.04 is: 965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.74 : 1,131.27 = 645.04 : x
  2. Step 2: Convert to fraction form
    755.74/1,131.27 = 645.04/x
  3. Step 3: Cross multiply
    755.74x = 1,131.27 × 645.04
  4. Step 4: Simplify right side
    755.74x = 729,714.40
  5. Step 5: Solve for x
    x = 729,714.40/755.74
  6. Step 6: Final answer
    x = 965.56

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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.