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Finding the Fourth Proportional to 727.17, 1,083.24 and 682.35

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Solution

The fourth proportional to 727.17, 1,083.24 and 682.35 is: 1,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.17 : 1,083.24 = 682.35 : x
  2. Step 2: Convert to fraction form
    727.17/1,083.24 = 682.35/x
  3. Step 3: Cross multiply
    727.17x = 1,083.24 × 682.35
  4. Step 4: Simplify right side
    727.17x = 739,148.81
  5. Step 5: Solve for x
    x = 739,148.81/727.17
  6. Step 6: Final answer
    x = 1,016.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.