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Finding the Fourth Proportional to 727.49, 1,003.92 and 412.75

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Solution

The fourth proportional to 727.49, 1,003.92 and 412.75 is: 569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.49 : 1,003.92 = 412.75 : x
  2. Step 2: Convert to fraction form
    727.49/1,003.92 = 412.75/x
  3. Step 3: Cross multiply
    727.49x = 1,003.92 × 412.75
  4. Step 4: Simplify right side
    727.49x = 414,365.47
  5. Step 5: Solve for x
    x = 414,365.47/727.49
  6. Step 6: Final answer
    x = 569.58

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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.