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Finding the Fourth Proportional to 1,226.18, 1,835.84 and 639.90

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Solution

The fourth proportional to 1,226.18, 1,835.84 and 639.90 is: 958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.18 : 1,835.84 = 639.90 : x
  2. Step 2: Convert to fraction form
    1,226.18/1,835.84 = 639.90/x
  3. Step 3: Cross multiply
    1,226.18x = 1,835.84 × 639.90
  4. Step 4: Simplify right side
    1,226.18x = 1,174,755.62
  5. Step 5: Solve for x
    x = 1,174,755.62/1,226.18
  6. Step 6: Final answer
    x = 958.07

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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.