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Finding the Fourth Proportional to 1,153.18, 1,728.94 and 422.78

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Solution

The fourth proportional to 1,153.18, 1,728.94 and 422.78 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.18 : 1,728.94 = 422.78 : x
  2. Step 2: Convert to fraction form
    1,153.18/1,728.94 = 422.78/x
  3. Step 3: Cross multiply
    1,153.18x = 1,728.94 × 422.78
  4. Step 4: Simplify right side
    1,153.18x = 730,961.25
  5. Step 5: Solve for x
    x = 730,961.25/1,153.18
  6. Step 6: Final answer
    x = 633.87

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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.