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Finding the Fourth Proportional to 726.86, 1,003.20 and 432.29

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Solution

The fourth proportional to 726.86, 1,003.20 and 432.29 is: 596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.86 : 1,003.20 = 432.29 : x
  2. Step 2: Convert to fraction form
    726.86/1,003.20 = 432.29/x
  3. Step 3: Cross multiply
    726.86x = 1,003.20 × 432.29
  4. Step 4: Simplify right side
    726.86x = 433,673.33
  5. Step 5: Solve for x
    x = 433,673.33/726.86
  6. Step 6: Final answer
    x = 596.64

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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.