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Finding the Fourth Proportional to 1,077.92, 1,618.08 and 667.24

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Solution

The fourth proportional to 1,077.92, 1,618.08 and 667.24 is: 1,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.92 : 1,618.08 = 667.24 : x
  2. Step 2: Convert to fraction form
    1,077.92/1,618.08 = 667.24/x
  3. Step 3: Cross multiply
    1,077.92x = 1,618.08 × 667.24
  4. Step 4: Simplify right side
    1,077.92x = 1,079,647.70
  5. Step 5: Solve for x
    x = 1,079,647.70/1,077.92
  6. Step 6: Final answer
    x = 1,001.60

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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.