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Finding the Fourth Proportional to 726.52, 1,089.66 and 293.56

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Solution

The fourth proportional to 726.52, 1,089.66 and 293.56 is: 440.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.52 : 1,089.66 = 293.56 : x
  2. Step 2: Convert to fraction form
    726.52/1,089.66 = 293.56/x
  3. Step 3: Cross multiply
    726.52x = 1,089.66 × 293.56
  4. Step 4: Simplify right side
    726.52x = 319,880.59
  5. Step 5: Solve for x
    x = 319,880.59/726.52
  6. Step 6: Final answer
    x = 440.29

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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.