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Finding the Fourth Proportional to 1,137.56, 1,712.64 and 892.07

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Solution

The fourth proportional to 1,137.56, 1,712.64 and 892.07 is: 1,343.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.56 : 1,712.64 = 892.07 : x
  2. Step 2: Convert to fraction form
    1,137.56/1,712.64 = 892.07/x
  3. Step 3: Cross multiply
    1,137.56x = 1,712.64 × 892.07
  4. Step 4: Simplify right side
    1,137.56x = 1,527,786.20
  5. Step 5: Solve for x
    x = 1,527,786.20/1,137.56
  6. Step 6: Final answer
    x = 1,343.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.