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Finding the Fourth Proportional to 729.54, 1,007.13 and 464.25

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Solution

The fourth proportional to 729.54, 1,007.13 and 464.25 is: 640.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.54 : 1,007.13 = 464.25 : x
  2. Step 2: Convert to fraction form
    729.54/1,007.13 = 464.25/x
  3. Step 3: Cross multiply
    729.54x = 1,007.13 × 464.25
  4. Step 4: Simplify right side
    729.54x = 467,556.33
  5. Step 5: Solve for x
    x = 467,556.33/729.54
  6. Step 6: Final answer
    x = 640.89

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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.