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Finding the Fourth Proportional to 1,040.46, 1,558.26 and 629.25

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Solution

The fourth proportional to 1,040.46, 1,558.26 and 629.25 is: 942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.46 : 1,558.26 = 629.25 : x
  2. Step 2: Convert to fraction form
    1,040.46/1,558.26 = 629.25/x
  3. Step 3: Cross multiply
    1,040.46x = 1,558.26 × 629.25
  4. Step 4: Simplify right side
    1,040.46x = 980,535.11
  5. Step 5: Solve for x
    x = 980,535.11/1,040.46
  6. Step 6: Final answer
    x = 942.41

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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.