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Finding the Fourth Proportional to 744.16, 1,026.08 and 481.92

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Solution

The fourth proportional to 744.16, 1,026.08 and 481.92 is: 664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.16 : 1,026.08 = 481.92 : x
  2. Step 2: Convert to fraction form
    744.16/1,026.08 = 481.92/x
  3. Step 3: Cross multiply
    744.16x = 1,026.08 × 481.92
  4. Step 4: Simplify right side
    744.16x = 494,488.47
  5. Step 5: Solve for x
    x = 494,488.47/744.16
  6. Step 6: Final answer
    x = 664.49

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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.