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Finding the Fourth Proportional to 727.14, 1,001.19 and 633.89

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Solution

The fourth proportional to 727.14, 1,001.19 and 633.89 is: 872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.14 : 1,001.19 = 633.89 : x
  2. Step 2: Convert to fraction form
    727.14/1,001.19 = 633.89/x
  3. Step 3: Cross multiply
    727.14x = 1,001.19 × 633.89
  4. Step 4: Simplify right side
    727.14x = 634,644.33
  5. Step 5: Solve for x
    x = 634,644.33/727.14
  6. Step 6: Final answer
    x = 872.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.