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Finding the Fourth Proportional to 728.09, 1,004.85 and 448.27

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Solution

The fourth proportional to 728.09, 1,004.85 and 448.27 is: 618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.09 : 1,004.85 = 448.27 : x
  2. Step 2: Convert to fraction form
    728.09/1,004.85 = 448.27/x
  3. Step 3: Cross multiply
    728.09x = 1,004.85 × 448.27
  4. Step 4: Simplify right side
    728.09x = 450,442.99
  5. Step 5: Solve for x
    x = 450,442.99/728.09
  6. Step 6: Final answer
    x = 618.66

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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.