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Finding the Fourth Proportional to 1,162.09, 1,602.60 and 768.43

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Solution

The fourth proportional to 1,162.09, 1,602.60 and 768.43 is: 1,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.09 : 1,602.60 = 768.43 : x
  2. Step 2: Convert to fraction form
    1,162.09/1,602.60 = 768.43/x
  3. Step 3: Cross multiply
    1,162.09x = 1,602.60 × 768.43
  4. Step 4: Simplify right side
    1,162.09x = 1,231,485.92
  5. Step 5: Solve for x
    x = 1,231,485.92/1,162.09
  6. Step 6: Final answer
    x = 1,059.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.