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Finding the Fourth Proportional to 1,173.68, 1,615.98 and 996.27

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Solution

The fourth proportional to 1,173.68, 1,615.98 and 996.27 is: 1,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.68 : 1,615.98 = 996.27 : x
  2. Step 2: Convert to fraction form
    1,173.68/1,615.98 = 996.27/x
  3. Step 3: Cross multiply
    1,173.68x = 1,615.98 × 996.27
  4. Step 4: Simplify right side
    1,173.68x = 1,609,953.10
  5. Step 5: Solve for x
    x = 1,609,953.10/1,173.68
  6. Step 6: Final answer
    x = 1,371.72

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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.