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Finding the Fourth Proportional to 727.69, 1,089.46 and 483.73

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Solution

The fourth proportional to 727.69, 1,089.46 and 483.73 is: 724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.69 : 1,089.46 = 483.73 : x
  2. Step 2: Convert to fraction form
    727.69/1,089.46 = 483.73/x
  3. Step 3: Cross multiply
    727.69x = 1,089.46 × 483.73
  4. Step 4: Simplify right side
    727.69x = 527,004.49
  5. Step 5: Solve for x
    x = 527,004.49/727.69
  6. Step 6: Final answer
    x = 724.22

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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.