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Finding the Fourth Proportional to 1,153, 1,728.46 and 422.43

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Solution

The fourth proportional to 1,153, 1,728.46 and 422.43 is: 633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153 : 1,728.46 = 422.43 : x
  2. Step 2: Convert to fraction form
    1,153/1,728.46 = 422.43/x
  3. Step 3: Cross multiply
    1,153x = 1,728.46 × 422.43
  4. Step 4: Simplify right side
    1,153x = 730,153.36
  5. Step 5: Solve for x
    x = 730,153.36/1,153
  6. Step 6: Final answer
    x = 633.26

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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.