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Finding the Fourth Proportional to 726.08, 1,001.90 and 411.36

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Solution

The fourth proportional to 726.08, 1,001.90 and 411.36 is: 567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.08 : 1,001.90 = 411.36 : x
  2. Step 2: Convert to fraction form
    726.08/1,001.90 = 411.36/x
  3. Step 3: Cross multiply
    726.08x = 1,001.90 × 411.36
  4. Step 4: Simplify right side
    726.08x = 412,139.53
  5. Step 5: Solve for x
    x = 412,139.53/726.08
  6. Step 6: Final answer
    x = 567.62

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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.