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Finding the Fourth Proportional to 1,153.89, 1,729.44 and 423.06

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Solution

The fourth proportional to 1,153.89, 1,729.44 and 423.06 is: 634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.89 : 1,729.44 = 423.06 : x
  2. Step 2: Convert to fraction form
    1,153.89/1,729.44 = 423.06/x
  3. Step 3: Cross multiply
    1,153.89x = 1,729.44 × 423.06
  4. Step 4: Simplify right side
    1,153.89x = 731,656.89
  5. Step 5: Solve for x
    x = 731,656.89/1,153.89
  6. Step 6: Final answer
    x = 634.08

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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.