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Finding the Fourth Proportional to 726.50, 1,090.24 and 270.50

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Solution

The fourth proportional to 726.50, 1,090.24 and 270.50 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.50 : 1,090.24 = 270.50 : x
  2. Step 2: Convert to fraction form
    726.50/1,090.24 = 270.50/x
  3. Step 3: Cross multiply
    726.50x = 1,090.24 × 270.50
  4. Step 4: Simplify right side
    726.50x = 294,909.92
  5. Step 5: Solve for x
    x = 294,909.92/726.50
  6. Step 6: Final answer
    x = 405.93

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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.