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Finding the Fourth Proportional to 1,132.44, 1,563.31 and 712.99

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Solution

The fourth proportional to 1,132.44, 1,563.31 and 712.99 is: 984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.44 : 1,563.31 = 712.99 : x
  2. Step 2: Convert to fraction form
    1,132.44/1,563.31 = 712.99/x
  3. Step 3: Cross multiply
    1,132.44x = 1,563.31 × 712.99
  4. Step 4: Simplify right side
    1,132.44x = 1,114,620.83
  5. Step 5: Solve for x
    x = 1,114,620.83/1,132.44
  6. Step 6: Final answer
    x = 984.27

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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.