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Finding the Fourth Proportional to 727.25, 1,089.25 and 511.79

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Solution

The fourth proportional to 727.25, 1,089.25 and 511.79 is: 766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.25 : 1,089.25 = 511.79 : x
  2. Step 2: Convert to fraction form
    727.25/1,089.25 = 511.79/x
  3. Step 3: Cross multiply
    727.25x = 1,089.25 × 511.79
  4. Step 4: Simplify right side
    727.25x = 557,460.53
  5. Step 5: Solve for x
    x = 557,460.53/727.25
  6. Step 6: Final answer
    x = 766.54

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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.