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Finding the Fourth Proportional to 727.69, 1,004.08 and 412.97

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Solution

The fourth proportional to 727.69, 1,004.08 and 412.97 is: 569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.69 : 1,004.08 = 412.97 : x
  2. Step 2: Convert to fraction form
    727.69/1,004.08 = 412.97/x
  3. Step 3: Cross multiply
    727.69x = 1,004.08 × 412.97
  4. Step 4: Simplify right side
    727.69x = 414,648.48
  5. Step 5: Solve for x
    x = 414,648.48/727.69
  6. Step 6: Final answer
    x = 569.82

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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.