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Finding the Fourth Proportional to 726.75, 1,090.33 and 380.31

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Solution

The fourth proportional to 726.75, 1,090.33 and 380.31 is: 570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.75 : 1,090.33 = 380.31 : x
  2. Step 2: Convert to fraction form
    726.75/1,090.33 = 380.31/x
  3. Step 3: Cross multiply
    726.75x = 1,090.33 × 380.31
  4. Step 4: Simplify right side
    726.75x = 414,663.40
  5. Step 5: Solve for x
    x = 414,663.40/726.75
  6. Step 6: Final answer
    x = 570.57

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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.