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Finding the Fourth Proportional to 1,164.77, 1,743.54 and 998.68

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Solution

The fourth proportional to 1,164.77, 1,743.54 and 998.68 is: 1,494.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.77 : 1,743.54 = 998.68 : x
  2. Step 2: Convert to fraction form
    1,164.77/1,743.54 = 998.68/x
  3. Step 3: Cross multiply
    1,164.77x = 1,743.54 × 998.68
  4. Step 4: Simplify right side
    1,164.77x = 1,741,238.53
  5. Step 5: Solve for x
    x = 1,741,238.53/1,164.77
  6. Step 6: Final answer
    x = 1,494.92

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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.