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Finding the Fourth Proportional to 1,490.85, 2,236.31 and 566.84

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Solution

The fourth proportional to 1,490.85, 2,236.31 and 566.84 is: 850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.85 : 2,236.31 = 566.84 : x
  2. Step 2: Convert to fraction form
    1,490.85/2,236.31 = 566.84/x
  3. Step 3: Cross multiply
    1,490.85x = 2,236.31 × 566.84
  4. Step 4: Simplify right side
    1,490.85x = 1,267,627.13
  5. Step 5: Solve for x
    x = 1,267,627.13/1,490.85
  6. Step 6: Final answer
    x = 850.27

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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.