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Finding the Fourth Proportional to 726.86, 1,003.08 and 416.36

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Solution

The fourth proportional to 726.86, 1,003.08 and 416.36 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.86 : 1,003.08 = 416.36 : x
  2. Step 2: Convert to fraction form
    726.86/1,003.08 = 416.36/x
  3. Step 3: Cross multiply
    726.86x = 1,003.08 × 416.36
  4. Step 4: Simplify right side
    726.86x = 417,642.39
  5. Step 5: Solve for x
    x = 417,642.39/726.86
  6. Step 6: Final answer
    x = 574.58

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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.