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Finding the Fourth Proportional to 726.81, 1,003.04 and 411.95

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Solution

The fourth proportional to 726.81, 1,003.04 and 411.95 is: 568.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.81 : 1,003.04 = 411.95 : x
  2. Step 2: Convert to fraction form
    726.81/1,003.04 = 411.95/x
  3. Step 3: Cross multiply
    726.81x = 1,003.04 × 411.95
  4. Step 4: Simplify right side
    726.81x = 413,204.32
  5. Step 5: Solve for x
    x = 413,204.32/726.81
  6. Step 6: Final answer
    x = 568.52

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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.