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Finding the Fourth Proportional to 726.67, 1,090.23 and 264.67

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Solution

The fourth proportional to 726.67, 1,090.23 and 264.67 is: 397.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.67 : 1,090.23 = 264.67 : x
  2. Step 2: Convert to fraction form
    726.67/1,090.23 = 264.67/x
  3. Step 3: Cross multiply
    726.67x = 1,090.23 × 264.67
  4. Step 4: Simplify right side
    726.67x = 288,551.17
  5. Step 5: Solve for x
    x = 288,551.17/726.67
  6. Step 6: Final answer
    x = 397.09

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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.