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Finding the Fourth Proportional to 743.43, 1,115.55 and 450.21

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Solution

The fourth proportional to 743.43, 1,115.55 and 450.21 is: 675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.43 : 1,115.55 = 450.21 : x
  2. Step 2: Convert to fraction form
    743.43/1,115.55 = 450.21/x
  3. Step 3: Cross multiply
    743.43x = 1,115.55 × 450.21
  4. Step 4: Simplify right side
    743.43x = 502,231.77
  5. Step 5: Solve for x
    x = 502,231.77/743.43
  6. Step 6: Final answer
    x = 675.56

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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.