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Finding the Fourth Proportional to 726.78, 1,089.97 and 315.81

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Solution

The fourth proportional to 726.78, 1,089.97 and 315.81 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.78 : 1,089.97 = 315.81 : x
  2. Step 2: Convert to fraction form
    726.78/1,089.97 = 315.81/x
  3. Step 3: Cross multiply
    726.78x = 1,089.97 × 315.81
  4. Step 4: Simplify right side
    726.78x = 344,222.64
  5. Step 5: Solve for x
    x = 344,222.64/726.78
  6. Step 6: Final answer
    x = 473.63

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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.