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Finding the Fourth Proportional to 1,034.26, 1,426.41 and 922.31

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Solution

The fourth proportional to 1,034.26, 1,426.41 and 922.31 is: 1,272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.26 : 1,426.41 = 922.31 : x
  2. Step 2: Convert to fraction form
    1,034.26/1,426.41 = 922.31/x
  3. Step 3: Cross multiply
    1,034.26x = 1,426.41 × 922.31
  4. Step 4: Simplify right side
    1,034.26x = 1,315,592.21
  5. Step 5: Solve for x
    x = 1,315,592.21/1,034.26
  6. Step 6: Final answer
    x = 1,272.01

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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.