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Finding the Fourth Proportional to 1,086.64, 1,626.90 and 845.98

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Solution

The fourth proportional to 1,086.64, 1,626.90 and 845.98 is: 1,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.64 : 1,626.90 = 845.98 : x
  2. Step 2: Convert to fraction form
    1,086.64/1,626.90 = 845.98/x
  3. Step 3: Cross multiply
    1,086.64x = 1,626.90 × 845.98
  4. Step 4: Simplify right side
    1,086.64x = 1,376,324.86
  5. Step 5: Solve for x
    x = 1,376,324.86/1,086.64
  6. Step 6: Final answer
    x = 1,266.59

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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.