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Finding the Fourth Proportional to 1,153.97, 1,729.47 and 422.68

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Solution

The fourth proportional to 1,153.97, 1,729.47 and 422.68 is: 633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.97 : 1,729.47 = 422.68 : x
  2. Step 2: Convert to fraction form
    1,153.97/1,729.47 = 422.68/x
  3. Step 3: Cross multiply
    1,153.97x = 1,729.47 × 422.68
  4. Step 4: Simplify right side
    1,153.97x = 731,012.38
  5. Step 5: Solve for x
    x = 731,012.38/1,153.97
  6. Step 6: Final answer
    x = 633.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.