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Finding the Fourth Proportional to 1,144.56, 1,716.42 and 559.20

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Solution

The fourth proportional to 1,144.56, 1,716.42 and 559.20 is: 838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.56 : 1,716.42 = 559.20 : x
  2. Step 2: Convert to fraction form
    1,144.56/1,716.42 = 559.20/x
  3. Step 3: Cross multiply
    1,144.56x = 1,716.42 × 559.20
  4. Step 4: Simplify right side
    1,144.56x = 959,822.06
  5. Step 5: Solve for x
    x = 959,822.06/1,144.56
  6. Step 6: Final answer
    x = 838.59

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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.