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Finding the Fourth Proportional to 1,153.50, 1,729.86 and 422.88

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Solution

The fourth proportional to 1,153.50, 1,729.86 and 422.88 is: 634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.50 : 1,729.86 = 422.88 : x
  2. Step 2: Convert to fraction form
    1,153.50/1,729.86 = 422.88/x
  3. Step 3: Cross multiply
    1,153.50x = 1,729.86 × 422.88
  4. Step 4: Simplify right side
    1,153.50x = 731,523.20
  5. Step 5: Solve for x
    x = 731,523.20/1,153.50
  6. Step 6: Final answer
    x = 634.18

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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.