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Finding the Fourth Proportional to 1,629.39, 2,444.07 and 475.14

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Solution

The fourth proportional to 1,629.39, 2,444.07 and 475.14 is: 712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.39 : 2,444.07 = 475.14 : x
  2. Step 2: Convert to fraction form
    1,629.39/2,444.07 = 475.14/x
  3. Step 3: Cross multiply
    1,629.39x = 2,444.07 × 475.14
  4. Step 4: Simplify right side
    1,629.39x = 1,161,275.42
  5. Step 5: Solve for x
    x = 1,161,275.42/1,629.39
  6. Step 6: Final answer
    x = 712.71

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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.