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Finding the Fourth Proportional to 900.90, 1,241.70 and 635.44

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Solution

The fourth proportional to 900.90, 1,241.70 and 635.44 is: 875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.90 : 1,241.70 = 635.44 : x
  2. Step 2: Convert to fraction form
    900.90/1,241.70 = 635.44/x
  3. Step 3: Cross multiply
    900.90x = 1,241.70 × 635.44
  4. Step 4: Simplify right side
    900.90x = 789,025.85
  5. Step 5: Solve for x
    x = 789,025.85/900.90
  6. Step 6: Final answer
    x = 875.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.