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Finding the Fourth Proportional to 1,404.37, 2,105.40 and 663.62

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Solution

The fourth proportional to 1,404.37, 2,105.40 and 663.62 is: 994.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.37 : 2,105.40 = 663.62 : x
  2. Step 2: Convert to fraction form
    1,404.37/2,105.40 = 663.62/x
  3. Step 3: Cross multiply
    1,404.37x = 2,105.40 × 663.62
  4. Step 4: Simplify right side
    1,404.37x = 1,397,185.55
  5. Step 5: Solve for x
    x = 1,397,185.55/1,404.37
  6. Step 6: Final answer
    x = 994.88

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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.