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Finding the Fourth Proportional to 1,157.56, 1,734.72 and 832.21

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Solution

The fourth proportional to 1,157.56, 1,734.72 and 832.21 is: 1,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.56 : 1,734.72 = 832.21 : x
  2. Step 2: Convert to fraction form
    1,157.56/1,734.72 = 832.21/x
  3. Step 3: Cross multiply
    1,157.56x = 1,734.72 × 832.21
  4. Step 4: Simplify right side
    1,157.56x = 1,443,651.33
  5. Step 5: Solve for x
    x = 1,443,651.33/1,157.56
  6. Step 6: Final answer
    x = 1,247.15

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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.