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Finding the Fourth Proportional to 995.12, 1,371.96 and 645.68

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Solution

The fourth proportional to 995.12, 1,371.96 and 645.68 is: 890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.12 : 1,371.96 = 645.68 : x
  2. Step 2: Convert to fraction form
    995.12/1,371.96 = 645.68/x
  3. Step 3: Cross multiply
    995.12x = 1,371.96 × 645.68
  4. Step 4: Simplify right side
    995.12x = 885,847.13
  5. Step 5: Solve for x
    x = 885,847.13/995.12
  6. Step 6: Final answer
    x = 890.19

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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.