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Finding the Fourth Proportional to 727.22, 1,003.51 and 412.49

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Solution

The fourth proportional to 727.22, 1,003.51 and 412.49 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.22 : 1,003.51 = 412.49 : x
  2. Step 2: Convert to fraction form
    727.22/1,003.51 = 412.49/x
  3. Step 3: Cross multiply
    727.22x = 1,003.51 × 412.49
  4. Step 4: Simplify right side
    727.22x = 413,935.78
  5. Step 5: Solve for x
    x = 413,935.78/727.22
  6. Step 6: Final answer
    x = 569.20

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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.