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Finding the Fourth Proportional to 726.90, 1,090.26 and 206.93

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Solution

The fourth proportional to 726.90, 1,090.26 and 206.93 is: 310.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.90 : 1,090.26 = 206.93 : x
  2. Step 2: Convert to fraction form
    726.90/1,090.26 = 206.93/x
  3. Step 3: Cross multiply
    726.90x = 1,090.26 × 206.93
  4. Step 4: Simplify right side
    726.90x = 225,602.05
  5. Step 5: Solve for x
    x = 225,602.05/726.90
  6. Step 6: Final answer
    x = 310.36

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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.