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Finding the Fourth Proportional to 1,078.92, 1,618.34 and 668.76

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Solution

The fourth proportional to 1,078.92, 1,618.34 and 668.76 is: 1,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.92 : 1,618.34 = 668.76 : x
  2. Step 2: Convert to fraction form
    1,078.92/1,618.34 = 668.76/x
  3. Step 3: Cross multiply
    1,078.92x = 1,618.34 × 668.76
  4. Step 4: Simplify right side
    1,078.92x = 1,082,281.06
  5. Step 5: Solve for x
    x = 1,082,281.06/1,078.92
  6. Step 6: Final answer
    x = 1,003.12

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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.