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Finding the Fourth Proportional to 737.20, 1,016.73 and 538.03

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Solution

The fourth proportional to 737.20, 1,016.73 and 538.03 is: 742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.20 : 1,016.73 = 538.03 : x
  2. Step 2: Convert to fraction form
    737.20/1,016.73 = 538.03/x
  3. Step 3: Cross multiply
    737.20x = 1,016.73 × 538.03
  4. Step 4: Simplify right side
    737.20x = 547,031.24
  5. Step 5: Solve for x
    x = 547,031.24/737.20
  6. Step 6: Final answer
    x = 742.04

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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.