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Finding the Fourth Proportional to 727.03, 1,003.06 and 412.25

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Solution

The fourth proportional to 727.03, 1,003.06 and 412.25 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.03 : 1,003.06 = 412.25 : x
  2. Step 2: Convert to fraction form
    727.03/1,003.06 = 412.25/x
  3. Step 3: Cross multiply
    727.03x = 1,003.06 × 412.25
  4. Step 4: Simplify right side
    727.03x = 413,511.49
  5. Step 5: Solve for x
    x = 413,511.49/727.03
  6. Step 6: Final answer
    x = 568.77

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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.