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Finding the Fourth Proportional to 727.71, 1,085.48 and 668.01

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Solution

The fourth proportional to 727.71, 1,085.48 and 668.01 is: 996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.71 : 1,085.48 = 668.01 : x
  2. Step 2: Convert to fraction form
    727.71/1,085.48 = 668.01/x
  3. Step 3: Cross multiply
    727.71x = 1,085.48 × 668.01
  4. Step 4: Simplify right side
    727.71x = 725,108.15
  5. Step 5: Solve for x
    x = 725,108.15/727.71
  6. Step 6: Final answer
    x = 996.42

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