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Finding the Fourth Proportional to 726.15, 1,089.24 and 380.18

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Solution

The fourth proportional to 726.15, 1,089.24 and 380.18 is: 570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.15 : 1,089.24 = 380.18 : x
  2. Step 2: Convert to fraction form
    726.15/1,089.24 = 380.18/x
  3. Step 3: Cross multiply
    726.15x = 1,089.24 × 380.18
  4. Step 4: Simplify right side
    726.15x = 414,101.82
  5. Step 5: Solve for x
    x = 414,101.82/726.15
  6. Step 6: Final answer
    x = 570.27

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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.