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Finding the Fourth Proportional to 817.85, 1,227.45 and 635.60

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Solution

The fourth proportional to 817.85, 1,227.45 and 635.60 is: 953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.85 : 1,227.45 = 635.60 : x
  2. Step 2: Convert to fraction form
    817.85/1,227.45 = 635.60/x
  3. Step 3: Cross multiply
    817.85x = 1,227.45 × 635.60
  4. Step 4: Simplify right side
    817.85x = 780,165.77
  5. Step 5: Solve for x
    x = 780,165.77/817.85
  6. Step 6: Final answer
    x = 953.93

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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.