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Finding the Fourth Proportional to 1,115.14, 1,672.71 and 335.23

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Solution

The fourth proportional to 1,115.14, 1,672.71 and 335.23 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.14 : 1,672.71 = 335.23 : x
  2. Step 2: Convert to fraction form
    1,115.14/1,672.71 = 335.23/x
  3. Step 3: Cross multiply
    1,115.14x = 1,672.71 × 335.23
  4. Step 4: Simplify right side
    1,115.14x = 560,734.21
  5. Step 5: Solve for x
    x = 560,734.21/1,115.14
  6. Step 6: Final answer
    x = 502.84

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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.