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Finding the Fourth Proportional to 755.44, 1,130.32 and 447.43

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Solution

The fourth proportional to 755.44, 1,130.32 and 447.43 is: 669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.44 : 1,130.32 = 447.43 : x
  2. Step 2: Convert to fraction form
    755.44/1,130.32 = 447.43/x
  3. Step 3: Cross multiply
    755.44x = 1,130.32 × 447.43
  4. Step 4: Simplify right side
    755.44x = 505,739.08
  5. Step 5: Solve for x
    x = 505,739.08/755.44
  6. Step 6: Final answer
    x = 669.46

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Why These Related Problems?

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