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Finding the Fourth Proportional to 726.97, 1,090.75 and 264.78

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Solution

The fourth proportional to 726.97, 1,090.75 and 264.78 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.97 : 1,090.75 = 264.78 : x
  2. Step 2: Convert to fraction form
    726.97/1,090.75 = 264.78/x
  3. Step 3: Cross multiply
    726.97x = 1,090.75 × 264.78
  4. Step 4: Simplify right side
    726.97x = 288,812.71
  5. Step 5: Solve for x
    x = 288,812.71/726.97
  6. Step 6: Final answer
    x = 397.28

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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.