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Finding the Fourth Proportional to 1,153.06, 1,728.52 and 422.24

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Solution

The fourth proportional to 1,153.06, 1,728.52 and 422.24 is: 632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.06 : 1,728.52 = 422.24 : x
  2. Step 2: Convert to fraction form
    1,153.06/1,728.52 = 422.24/x
  3. Step 3: Cross multiply
    1,153.06x = 1,728.52 × 422.24
  4. Step 4: Simplify right side
    1,153.06x = 729,850.28
  5. Step 5: Solve for x
    x = 729,850.28/1,153.06
  6. Step 6: Final answer
    x = 632.97

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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.