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Finding the Fourth Proportional to 742.56, 1,111 and 450.12

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Solution

The fourth proportional to 742.56, 1,111 and 450.12 is: 673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.56 : 1,111 = 450.12 : x
  2. Step 2: Convert to fraction form
    742.56/1,111 = 450.12/x
  3. Step 3: Cross multiply
    742.56x = 1,111 × 450.12
  4. Step 4: Simplify right side
    742.56x = 500,083.32
  5. Step 5: Solve for x
    x = 500,083.32/742.56
  6. Step 6: Final answer
    x = 673.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.