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Finding the Fourth Proportional to 728.13, 1,004.84 and 417.63

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Solution

The fourth proportional to 728.13, 1,004.84 and 417.63 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.13 : 1,004.84 = 417.63 : x
  2. Step 2: Convert to fraction form
    728.13/1,004.84 = 417.63/x
  3. Step 3: Cross multiply
    728.13x = 1,004.84 × 417.63
  4. Step 4: Simplify right side
    728.13x = 419,651.33
  5. Step 5: Solve for x
    x = 419,651.33/728.13
  6. Step 6: Final answer
    x = 576.34

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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.