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Finding the Fourth Proportional to 737.73, 1,016.42 and 475.29

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Solution

The fourth proportional to 737.73, 1,016.42 and 475.29 is: 654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.73 : 1,016.42 = 475.29 : x
  2. Step 2: Convert to fraction form
    737.73/1,016.42 = 475.29/x
  3. Step 3: Cross multiply
    737.73x = 1,016.42 × 475.29
  4. Step 4: Simplify right side
    737.73x = 483,091.89
  5. Step 5: Solve for x
    x = 483,091.89/737.73
  6. Step 6: Final answer
    x = 654.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.