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Finding the Fourth Proportional to 726.23, 1,089.52 and 397.49

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Solution

The fourth proportional to 726.23, 1,089.52 and 397.49 is: 596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.23 : 1,089.52 = 397.49 : x
  2. Step 2: Convert to fraction form
    726.23/1,089.52 = 397.49/x
  3. Step 3: Cross multiply
    726.23x = 1,089.52 × 397.49
  4. Step 4: Simplify right side
    726.23x = 433,066.86
  5. Step 5: Solve for x
    x = 433,066.86/726.23
  6. Step 6: Final answer
    x = 596.32

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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.