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Finding the Fourth Proportional to 1,232.89, 1,850.29 and 584.08

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Solution

The fourth proportional to 1,232.89, 1,850.29 and 584.08 is: 876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.89 : 1,850.29 = 584.08 : x
  2. Step 2: Convert to fraction form
    1,232.89/1,850.29 = 584.08/x
  3. Step 3: Cross multiply
    1,232.89x = 1,850.29 × 584.08
  4. Step 4: Simplify right side
    1,232.89x = 1,080,711.30
  5. Step 5: Solve for x
    x = 1,080,711.30/1,232.89
  6. Step 6: Final answer
    x = 876.57

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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.