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Finding the Fourth Proportional to 1,629.56, 2,444.14 and 475.30

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Solution

The fourth proportional to 1,629.56, 2,444.14 and 475.30 is: 712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.56 : 2,444.14 = 475.30 : x
  2. Step 2: Convert to fraction form
    1,629.56/2,444.14 = 475.30/x
  3. Step 3: Cross multiply
    1,629.56x = 2,444.14 × 475.30
  4. Step 4: Simplify right side
    1,629.56x = 1,161,699.74
  5. Step 5: Solve for x
    x = 1,161,699.74/1,629.56
  6. Step 6: Final answer
    x = 712.89

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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.