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Finding the Fourth Proportional to 1,153.67, 1,729.42 and 639.59

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Solution

The fourth proportional to 1,153.67, 1,729.42 and 639.59 is: 958.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.67 : 1,729.42 = 639.59 : x
  2. Step 2: Convert to fraction form
    1,153.67/1,729.42 = 639.59/x
  3. Step 3: Cross multiply
    1,153.67x = 1,729.42 × 639.59
  4. Step 4: Simplify right side
    1,153.67x = 1,106,109.49
  5. Step 5: Solve for x
    x = 1,106,109.49/1,153.67
  6. Step 6: Final answer
    x = 958.78

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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.