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Finding the Fourth Proportional to 1,206.62, 1,810.19 and 629.34

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Solution

The fourth proportional to 1,206.62, 1,810.19 and 629.34 is: 944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.62 : 1,810.19 = 629.34 : x
  2. Step 2: Convert to fraction form
    1,206.62/1,810.19 = 629.34/x
  3. Step 3: Cross multiply
    1,206.62x = 1,810.19 × 629.34
  4. Step 4: Simplify right side
    1,206.62x = 1,139,224.97
  5. Step 5: Solve for x
    x = 1,139,224.97/1,206.62
  6. Step 6: Final answer
    x = 944.15

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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.