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Finding the Fourth Proportional to 1,159.94, 1,589.98 and 1,144.37

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Solution

The fourth proportional to 1,159.94, 1,589.98 and 1,144.37 is: 1,568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.94 : 1,589.98 = 1,144.37 : x
  2. Step 2: Convert to fraction form
    1,159.94/1,589.98 = 1,144.37/x
  3. Step 3: Cross multiply
    1,159.94x = 1,589.98 × 1,144.37
  4. Step 4: Simplify right side
    1,159.94x = 1,819,525.41
  5. Step 5: Solve for x
    x = 1,819,525.41/1,159.94
  6. Step 6: Final answer
    x = 1,568.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.