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Finding the Fourth Proportional to 755.40, 1,131.42 and 430.56

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Solution

The fourth proportional to 755.40, 1,131.42 and 430.56 is: 644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.40 : 1,131.42 = 430.56 : x
  2. Step 2: Convert to fraction form
    755.40/1,131.42 = 430.56/x
  3. Step 3: Cross multiply
    755.40x = 1,131.42 × 430.56
  4. Step 4: Simplify right side
    755.40x = 487,144.20
  5. Step 5: Solve for x
    x = 487,144.20/755.40
  6. Step 6: Final answer
    x = 644.88

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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.