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Finding the Fourth Proportional to 1,134, 1,563.87 and 713.82

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Solution

The fourth proportional to 1,134, 1,563.87 and 713.82 is: 984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134 : 1,563.87 = 713.82 : x
  2. Step 2: Convert to fraction form
    1,134/1,563.87 = 713.82/x
  3. Step 3: Cross multiply
    1,134x = 1,563.87 × 713.82
  4. Step 4: Simplify right side
    1,134x = 1,116,321.68
  5. Step 5: Solve for x
    x = 1,116,321.68/1,134
  6. Step 6: Final answer
    x = 984.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.