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Finding the Fourth Proportional to 1,158.72, 1,736.46 and 832.56

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Solution

The fourth proportional to 1,158.72, 1,736.46 and 832.56 is: 1,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.72 : 1,736.46 = 832.56 : x
  2. Step 2: Convert to fraction form
    1,158.72/1,736.46 = 832.56/x
  3. Step 3: Cross multiply
    1,158.72x = 1,736.46 × 832.56
  4. Step 4: Simplify right side
    1,158.72x = 1,445,707.14
  5. Step 5: Solve for x
    x = 1,445,707.14/1,158.72
  6. Step 6: Final answer
    x = 1,247.68

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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.