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Finding the Fourth Proportional to 726.02, 1,001.85 and 411.20

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Solution

The fourth proportional to 726.02, 1,001.85 and 411.20 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.02 : 1,001.85 = 411.20 : x
  2. Step 2: Convert to fraction form
    726.02/1,001.85 = 411.20/x
  3. Step 3: Cross multiply
    726.02x = 1,001.85 × 411.20
  4. Step 4: Simplify right side
    726.02x = 411,960.72
  5. Step 5: Solve for x
    x = 411,960.72/726.02
  6. Step 6: Final answer
    x = 567.42

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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.