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Finding the Fourth Proportional to 721.53, 1,083.27 and 713.79

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Solution

The fourth proportional to 721.53, 1,083.27 and 713.79 is: 1,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.53 : 1,083.27 = 713.79 : x
  2. Step 2: Convert to fraction form
    721.53/1,083.27 = 713.79/x
  3. Step 3: Cross multiply
    721.53x = 1,083.27 × 713.79
  4. Step 4: Simplify right side
    721.53x = 773,227.29
  5. Step 5: Solve for x
    x = 773,227.29/721.53
  6. Step 6: Final answer
    x = 1,071.65

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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.