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Finding the Fourth Proportional to 1,078.20, 1,613.70 and 948.60

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Solution

The fourth proportional to 1,078.20, 1,613.70 and 948.60 is: 1,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.20 : 1,613.70 = 948.60 : x
  2. Step 2: Convert to fraction form
    1,078.20/1,613.70 = 948.60/x
  3. Step 3: Cross multiply
    1,078.20x = 1,613.70 × 948.60
  4. Step 4: Simplify right side
    1,078.20x = 1,530,755.82
  5. Step 5: Solve for x
    x = 1,530,755.82/1,078.20
  6. Step 6: Final answer
    x = 1,419.73

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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.