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Finding the Fourth Proportional to 1,048.98, 1,447.30 and 629.15

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Solution

The fourth proportional to 1,048.98, 1,447.30 and 629.15 is: 868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.98 : 1,447.30 = 629.15 : x
  2. Step 2: Convert to fraction form
    1,048.98/1,447.30 = 629.15/x
  3. Step 3: Cross multiply
    1,048.98x = 1,447.30 × 629.15
  4. Step 4: Simplify right side
    1,048.98x = 910,568.80
  5. Step 5: Solve for x
    x = 910,568.80/1,048.98
  6. Step 6: Final answer
    x = 868.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.