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Finding the Fourth Proportional to 726.13, 1,089.46 and 379.45

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Solution

The fourth proportional to 726.13, 1,089.46 and 379.45 is: 569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.13 : 1,089.46 = 379.45 : x
  2. Step 2: Convert to fraction form
    726.13/1,089.46 = 379.45/x
  3. Step 3: Cross multiply
    726.13x = 1,089.46 × 379.45
  4. Step 4: Simplify right side
    726.13x = 413,390.15
  5. Step 5: Solve for x
    x = 413,390.15/726.13
  6. Step 6: Final answer
    x = 569.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.