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Finding the Fourth Proportional to 1,162.82, 1,605.45 and 721.37

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Solution

The fourth proportional to 1,162.82, 1,605.45 and 721.37 is: 995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.82 : 1,605.45 = 721.37 : x
  2. Step 2: Convert to fraction form
    1,162.82/1,605.45 = 721.37/x
  3. Step 3: Cross multiply
    1,162.82x = 1,605.45 × 721.37
  4. Step 4: Simplify right side
    1,162.82x = 1,158,123.47
  5. Step 5: Solve for x
    x = 1,158,123.47/1,162.82
  6. Step 6: Final answer
    x = 995.96

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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.