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Finding the Fourth Proportional to 726.81, 1,003.03 and 416.37

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Solution

The fourth proportional to 726.81, 1,003.03 and 416.37 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.81 : 1,003.03 = 416.37 : x
  2. Step 2: Convert to fraction form
    726.81/1,003.03 = 416.37/x
  3. Step 3: Cross multiply
    726.81x = 1,003.03 × 416.37
  4. Step 4: Simplify right side
    726.81x = 417,635.10
  5. Step 5: Solve for x
    x = 417,635.10/726.81
  6. Step 6: Final answer
    x = 574.61

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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.