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Finding the Fourth Proportional to 1,449.56, 2,174.25 and 423.56

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Solution

The fourth proportional to 1,449.56, 2,174.25 and 423.56 is: 635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.56 : 2,174.25 = 423.56 : x
  2. Step 2: Convert to fraction form
    1,449.56/2,174.25 = 423.56/x
  3. Step 3: Cross multiply
    1,449.56x = 2,174.25 × 423.56
  4. Step 4: Simplify right side
    1,449.56x = 920,925.33
  5. Step 5: Solve for x
    x = 920,925.33/1,449.56
  6. Step 6: Final answer
    x = 635.31

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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.