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Finding the Fourth Proportional to 726.98, 1,090.80 and 380.70

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Solution

The fourth proportional to 726.98, 1,090.80 and 380.70 is: 571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.98 : 1,090.80 = 380.70 : x
  2. Step 2: Convert to fraction form
    726.98/1,090.80 = 380.70/x
  3. Step 3: Cross multiply
    726.98x = 1,090.80 × 380.70
  4. Step 4: Simplify right side
    726.98x = 415,267.56
  5. Step 5: Solve for x
    x = 415,267.56/726.98
  6. Step 6: Final answer
    x = 571.23

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