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Finding the Fourth Proportional to 726.11, 1,088.11 and 433.73

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Solution

The fourth proportional to 726.11, 1,088.11 and 433.73 is: 649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.11 : 1,088.11 = 433.73 : x
  2. Step 2: Convert to fraction form
    726.11/1,088.11 = 433.73/x
  3. Step 3: Cross multiply
    726.11x = 1,088.11 × 433.73
  4. Step 4: Simplify right side
    726.11x = 471,939.43
  5. Step 5: Solve for x
    x = 471,939.43/726.11
  6. Step 6: Final answer
    x = 649.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.