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Finding the Fourth Proportional to 726.96, 1,003.16 and 412.27

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Solution

The fourth proportional to 726.96, 1,003.16 and 412.27 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.96 : 1,003.16 = 412.27 : x
  2. Step 2: Convert to fraction form
    726.96/1,003.16 = 412.27/x
  3. Step 3: Cross multiply
    726.96x = 1,003.16 × 412.27
  4. Step 4: Simplify right side
    726.96x = 413,572.77
  5. Step 5: Solve for x
    x = 413,572.77/726.96
  6. Step 6: Final answer
    x = 568.91

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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.