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Finding the Fourth Proportional to 736.28, 1,016.57 and 673.87

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Solution

The fourth proportional to 736.28, 1,016.57 and 673.87 is: 930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.28 : 1,016.57 = 673.87 : x
  2. Step 2: Convert to fraction form
    736.28/1,016.57 = 673.87/x
  3. Step 3: Cross multiply
    736.28x = 1,016.57 × 673.87
  4. Step 4: Simplify right side
    736.28x = 685,036.03
  5. Step 5: Solve for x
    x = 685,036.03/736.28
  6. Step 6: Final answer
    x = 930.40

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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.