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Finding the Fourth Proportional to 995.60, 1,490.31 and 847.97

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Solution

The fourth proportional to 995.60, 1,490.31 and 847.97 is: 1,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.60 : 1,490.31 = 847.97 : x
  2. Step 2: Convert to fraction form
    995.60/1,490.31 = 847.97/x
  3. Step 3: Cross multiply
    995.60x = 1,490.31 × 847.97
  4. Step 4: Simplify right side
    995.60x = 1,263,741.90
  5. Step 5: Solve for x
    x = 1,263,741.90/995.60
  6. Step 6: Final answer
    x = 1,269.33

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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.