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Finding the Fourth Proportional to 1,153.27, 1,728.73 and 422.29

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Solution

The fourth proportional to 1,153.27, 1,728.73 and 422.29 is: 633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.27 : 1,728.73 = 422.29 : x
  2. Step 2: Convert to fraction form
    1,153.27/1,728.73 = 422.29/x
  3. Step 3: Cross multiply
    1,153.27x = 1,728.73 × 422.29
  4. Step 4: Simplify right side
    1,153.27x = 730,025.39
  5. Step 5: Solve for x
    x = 730,025.39/1,153.27
  6. Step 6: Final answer
    x = 633.00

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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.