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Finding the Fourth Proportional to 1,153.44, 1,729.74 and 422.82

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Solution

The fourth proportional to 1,153.44, 1,729.74 and 422.82 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.44 : 1,729.74 = 422.82 : x
  2. Step 2: Convert to fraction form
    1,153.44/1,729.74 = 422.82/x
  3. Step 3: Cross multiply
    1,153.44x = 1,729.74 × 422.82
  4. Step 4: Simplify right side
    1,153.44x = 731,368.67
  5. Step 5: Solve for x
    x = 731,368.67/1,153.44
  6. Step 6: Final answer
    x = 634.08

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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.