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Finding the Fourth Proportional to 726.94, 1,003.20 and 412.18

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Solution

The fourth proportional to 726.94, 1,003.20 and 412.18 is: 568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.94 : 1,003.20 = 412.18 : x
  2. Step 2: Convert to fraction form
    726.94/1,003.20 = 412.18/x
  3. Step 3: Cross multiply
    726.94x = 1,003.20 × 412.18
  4. Step 4: Simplify right side
    726.94x = 413,498.98
  5. Step 5: Solve for x
    x = 413,498.98/726.94
  6. Step 6: Final answer
    x = 568.82

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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.