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Finding the Fourth Proportional to 1,409.23, 2,114.43 and 628.69

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Solution

The fourth proportional to 1,409.23, 2,114.43 and 628.69 is: 943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.23 : 2,114.43 = 628.69 : x
  2. Step 2: Convert to fraction form
    1,409.23/2,114.43 = 628.69/x
  3. Step 3: Cross multiply
    1,409.23x = 2,114.43 × 628.69
  4. Step 4: Simplify right side
    1,409.23x = 1,329,321.00
  5. Step 5: Solve for x
    x = 1,329,321.00/1,409.23
  6. Step 6: Final answer
    x = 943.30

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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.