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Finding the Fourth Proportional to 728.10, 1,004.64 and 448.44

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Solution

The fourth proportional to 728.10, 1,004.64 and 448.44 is: 618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.10 : 1,004.64 = 448.44 : x
  2. Step 2: Convert to fraction form
    728.10/1,004.64 = 448.44/x
  3. Step 3: Cross multiply
    728.10x = 1,004.64 × 448.44
  4. Step 4: Simplify right side
    728.10x = 450,520.76
  5. Step 5: Solve for x
    x = 450,520.76/728.10
  6. Step 6: Final answer
    x = 618.76

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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.