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Finding the Fourth Proportional to 1,171.24, 1,757.37 and 623.29

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Solution

The fourth proportional to 1,171.24, 1,757.37 and 623.29 is: 935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.24 : 1,757.37 = 623.29 : x
  2. Step 2: Convert to fraction form
    1,171.24/1,757.37 = 623.29/x
  3. Step 3: Cross multiply
    1,171.24x = 1,757.37 × 623.29
  4. Step 4: Simplify right side
    1,171.24x = 1,095,351.15
  5. Step 5: Solve for x
    x = 1,095,351.15/1,171.24
  6. Step 6: Final answer
    x = 935.21

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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.