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Finding the Fourth Proportional to 1,174, 1,619.96 and 997.68

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Solution

The fourth proportional to 1,174, 1,619.96 and 997.68 is: 1,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174 : 1,619.96 = 997.68 : x
  2. Step 2: Convert to fraction form
    1,174/1,619.96 = 997.68/x
  3. Step 3: Cross multiply
    1,174x = 1,619.96 × 997.68
  4. Step 4: Simplify right side
    1,174x = 1,616,201.69
  5. Step 5: Solve for x
    x = 1,616,201.69/1,174
  6. Step 6: Final answer
    x = 1,376.66

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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.