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Finding the Fourth Proportional to 1,115.30, 1,672.97 and 293.69

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Solution

The fourth proportional to 1,115.30, 1,672.97 and 293.69 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.30 : 1,672.97 = 293.69 : x
  2. Step 2: Convert to fraction form
    1,115.30/1,672.97 = 293.69/x
  3. Step 3: Cross multiply
    1,115.30x = 1,672.97 × 293.69
  4. Step 4: Simplify right side
    1,115.30x = 491,337.27
  5. Step 5: Solve for x
    x = 491,337.27/1,115.30
  6. Step 6: Final answer
    x = 440.54

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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.