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Finding the Fourth Proportional to 1,287.44, 1,931.29 and 629.55

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Solution

The fourth proportional to 1,287.44, 1,931.29 and 629.55 is: 944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.44 : 1,931.29 = 629.55 : x
  2. Step 2: Convert to fraction form
    1,287.44/1,931.29 = 629.55/x
  3. Step 3: Cross multiply
    1,287.44x = 1,931.29 × 629.55
  4. Step 4: Simplify right side
    1,287.44x = 1,215,842.05
  5. Step 5: Solve for x
    x = 1,215,842.05/1,287.44
  6. Step 6: Final answer
    x = 944.39

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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.