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Finding the Fourth Proportional to 726.86, 1,090.71 and 397.80

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Solution

The fourth proportional to 726.86, 1,090.71 and 397.80 is: 596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.86 : 1,090.71 = 397.80 : x
  2. Step 2: Convert to fraction form
    726.86/1,090.71 = 397.80/x
  3. Step 3: Cross multiply
    726.86x = 1,090.71 × 397.80
  4. Step 4: Simplify right side
    726.86x = 433,884.44
  5. Step 5: Solve for x
    x = 433,884.44/726.86
  6. Step 6: Final answer
    x = 596.93

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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.