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Finding the Fourth Proportional to 727.74, 1,004.43 and 479.46

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Solution

The fourth proportional to 727.74, 1,004.43 and 479.46 is: 661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.74 : 1,004.43 = 479.46 : x
  2. Step 2: Convert to fraction form
    727.74/1,004.43 = 479.46/x
  3. Step 3: Cross multiply
    727.74x = 1,004.43 × 479.46
  4. Step 4: Simplify right side
    727.74x = 481,584.01
  5. Step 5: Solve for x
    x = 481,584.01/727.74
  6. Step 6: Final answer
    x = 661.75

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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.