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Finding the Fourth Proportional to 726.21, 1,089.32 and 264.31

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Solution

The fourth proportional to 726.21, 1,089.32 and 264.31 is: 396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.21 : 1,089.32 = 264.31 : x
  2. Step 2: Convert to fraction form
    726.21/1,089.32 = 264.31/x
  3. Step 3: Cross multiply
    726.21x = 1,089.32 × 264.31
  4. Step 4: Simplify right side
    726.21x = 287,918.17
  5. Step 5: Solve for x
    x = 287,918.17/726.21
  6. Step 6: Final answer
    x = 396.47

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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.