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Finding the Fourth Proportional to 912.22, 1,255.97 and 829.07

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Solution

The fourth proportional to 912.22, 1,255.97 and 829.07 is: 1,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.22 : 1,255.97 = 829.07 : x
  2. Step 2: Convert to fraction form
    912.22/1,255.97 = 829.07/x
  3. Step 3: Cross multiply
    912.22x = 1,255.97 × 829.07
  4. Step 4: Simplify right side
    912.22x = 1,041,287.05
  5. Step 5: Solve for x
    x = 1,041,287.05/912.22
  6. Step 6: Final answer
    x = 1,141.49

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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.