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Finding the Fourth Proportional to 1,206.88, 1,808.64 and 629.04

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Solution

The fourth proportional to 1,206.88, 1,808.64 and 629.04 is: 942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.88 : 1,808.64 = 629.04 : x
  2. Step 2: Convert to fraction form
    1,206.88/1,808.64 = 629.04/x
  3. Step 3: Cross multiply
    1,206.88x = 1,808.64 × 629.04
  4. Step 4: Simplify right side
    1,206.88x = 1,137,706.91
  5. Step 5: Solve for x
    x = 1,137,706.91/1,206.88
  6. Step 6: Final answer
    x = 942.68

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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.