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Finding the Fourth Proportional to 1,115.20, 1,672.78 and 293.48

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Solution

The fourth proportional to 1,115.20, 1,672.78 and 293.48 is: 440.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.20 : 1,672.78 = 293.48 : x
  2. Step 2: Convert to fraction form
    1,115.20/1,672.78 = 293.48/x
  3. Step 3: Cross multiply
    1,115.20x = 1,672.78 × 293.48
  4. Step 4: Simplify right side
    1,115.20x = 490,927.47
  5. Step 5: Solve for x
    x = 490,927.47/1,115.20
  6. Step 6: Final answer
    x = 440.21

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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.