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Finding the Fourth Proportional to 737.10, 1,016.52 and 484.92

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Solution

The fourth proportional to 737.10, 1,016.52 and 484.92 is: 668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.10 : 1,016.52 = 484.92 : x
  2. Step 2: Convert to fraction form
    737.10/1,016.52 = 484.92/x
  3. Step 3: Cross multiply
    737.10x = 1,016.52 × 484.92
  4. Step 4: Simplify right side
    737.10x = 492,930.88
  5. Step 5: Solve for x
    x = 492,930.88/737.10
  6. Step 6: Final answer
    x = 668.74

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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.