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Finding the Fourth Proportional to 1,259.44, 1,889.17 and 335.09

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Solution

The fourth proportional to 1,259.44, 1,889.17 and 335.09 is: 502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.44 : 1,889.17 = 335.09 : x
  2. Step 2: Convert to fraction form
    1,259.44/1,889.17 = 335.09/x
  3. Step 3: Cross multiply
    1,259.44x = 1,889.17 × 335.09
  4. Step 4: Simplify right side
    1,259.44x = 633,045.86
  5. Step 5: Solve for x
    x = 633,045.86/1,259.44
  6. Step 6: Final answer
    x = 502.64

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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.