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Finding the Fourth Proportional to 726.01, 1,001.88 and 411.27

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Solution

The fourth proportional to 726.01, 1,001.88 and 411.27 is: 567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.01 : 1,001.88 = 411.27 : x
  2. Step 2: Convert to fraction form
    726.01/1,001.88 = 411.27/x
  3. Step 3: Cross multiply
    726.01x = 1,001.88 × 411.27
  4. Step 4: Simplify right side
    726.01x = 412,043.19
  5. Step 5: Solve for x
    x = 412,043.19/726.01
  6. Step 6: Final answer
    x = 567.54

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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.