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Finding the Fourth Proportional to 1,162.73, 1,604.56 and 631.61

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Solution

The fourth proportional to 1,162.73, 1,604.56 and 631.61 is: 871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.73 : 1,604.56 = 631.61 : x
  2. Step 2: Convert to fraction form
    1,162.73/1,604.56 = 631.61/x
  3. Step 3: Cross multiply
    1,162.73x = 1,604.56 × 631.61
  4. Step 4: Simplify right side
    1,162.73x = 1,013,453.71
  5. Step 5: Solve for x
    x = 1,013,453.71/1,162.73
  6. Step 6: Final answer
    x = 871.62

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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.