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Finding the Fourth Proportional to 755.98, 1,131.84 and 574.12

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Solution

The fourth proportional to 755.98, 1,131.84 and 574.12 is: 859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.98 : 1,131.84 = 574.12 : x
  2. Step 2: Convert to fraction form
    755.98/1,131.84 = 574.12/x
  3. Step 3: Cross multiply
    755.98x = 1,131.84 × 574.12
  4. Step 4: Simplify right side
    755.98x = 649,811.98
  5. Step 5: Solve for x
    x = 649,811.98/755.98
  6. Step 6: Final answer
    x = 859.56

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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.