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Finding the Fourth Proportional to 1,311.88, 1,968.11 and 490.15

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Solution

The fourth proportional to 1,311.88, 1,968.11 and 490.15 is: 735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.88 : 1,968.11 = 490.15 : x
  2. Step 2: Convert to fraction form
    1,311.88/1,968.11 = 490.15/x
  3. Step 3: Cross multiply
    1,311.88x = 1,968.11 × 490.15
  4. Step 4: Simplify right side
    1,311.88x = 964,673.60
  5. Step 5: Solve for x
    x = 964,673.60/1,311.88
  6. Step 6: Final answer
    x = 735.34

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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.